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Finding the Third Proportional to 61,460 and 87,042

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Solution

The third proportional to 61,460 and 87,042 is: 123,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,460 : 87,042 = 87,042 : x
  2. Step 2: Convert to fraction form
    61,460/87,042 = 87,042/x
  3. Step 3: Cross multiply
    61,460x = 87,042 × 87,042
  4. Step 4: Simplify right side
    61,460x = 7,576,309,764
  5. Step 5: Solve for x
    x = 7,576,309,764/61,460
  6. Step 6: Final answer
    x = 123,272.21

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.