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Finding the Third Proportional to 109,819 and 166,113

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Solution

The third proportional to 109,819 and 166,113 is: 251,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,819 : 166,113 = 166,113 : x
  2. Step 2: Convert to fraction form
    109,819/166,113 = 166,113/x
  3. Step 3: Cross multiply
    109,819x = 166,113 × 166,113
  4. Step 4: Simplify right side
    109,819x = 27,593,528,769
  5. Step 5: Solve for x
    x = 27,593,528,769/109,819
  6. Step 6: Final answer
    x = 251,263.70

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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.