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Finding the Third Proportional to 61,474 and 87,062

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Solution

The third proportional to 61,474 and 87,062 is: 123,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,474 : 87,062 = 87,062 : x
  2. Step 2: Convert to fraction form
    61,474/87,062 = 87,062/x
  3. Step 3: Cross multiply
    61,474x = 87,062 × 87,062
  4. Step 4: Simplify right side
    61,474x = 7,579,791,844
  5. Step 5: Solve for x
    x = 7,579,791,844/61,474
  6. Step 6: Final answer
    x = 123,300.78

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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.