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Finding the Third Proportional to 109,812.75 and 166,103.25

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Solution

The third proportional to 109,812.75 and 166,103.25 is: 251,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,812.75 : 166,103.25 = 166,103.25 : x
  2. Step 2: Convert to fraction form
    109,812.75/166,103.25 = 166,103.25/x
  3. Step 3: Cross multiply
    109,812.75x = 166,103.25 × 166,103.25
  4. Step 4: Simplify right side
    109,812.75x = 27,590,289,660.56
  5. Step 5: Solve for x
    x = 27,590,289,660.56/109,812.75
  6. Step 6: Final answer
    x = 251,248.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.