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Finding the Third Proportional to 114,113.25 and 171,191.25

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Solution

The third proportional to 114,113.25 and 171,191.25 is: 256,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,113.25 : 171,191.25 = 171,191.25 : x
  2. Step 2: Convert to fraction form
    114,113.25/171,191.25 = 171,191.25/x
  3. Step 3: Cross multiply
    114,113.25x = 171,191.25 × 171,191.25
  4. Step 4: Simplify right side
    114,113.25x = 29,306,444,076.56
  5. Step 5: Solve for x
    x = 29,306,444,076.56/114,113.25
  6. Step 6: Final answer
    x = 256,818.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.