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Finding the Third Proportional to 57,542 and 86,061

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Solution

The third proportional to 57,542 and 86,061 is: 128,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,542 : 86,061 = 86,061 : x
  2. Step 2: Convert to fraction form
    57,542/86,061 = 86,061/x
  3. Step 3: Cross multiply
    57,542x = 86,061 × 86,061
  4. Step 4: Simplify right side
    57,542x = 7,406,495,721
  5. Step 5: Solve for x
    x = 7,406,495,721/57,542
  6. Step 6: Final answer
    x = 128,714.60

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