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Finding the Third Proportional to 57,654 and 86,481

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Solution

The third proportional to 57,654 and 86,481 is: 129,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,654 : 86,481 = 86,481 : x
  2. Step 2: Convert to fraction form
    57,654/86,481 = 86,481/x
  3. Step 3: Cross multiply
    57,654x = 86,481 × 86,481
  4. Step 4: Simplify right side
    57,654x = 7,478,963,361
  5. Step 5: Solve for x
    x = 7,478,963,361/57,654
  6. Step 6: Final answer
    x = 129,721.50

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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.