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Finding the Third Proportional to 61,715 and 87,375

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Solution

The third proportional to 61,715 and 87,375 is: 123,703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,715 : 87,375 = 87,375 : x
  2. Step 2: Convert to fraction form
    61,715/87,375 = 87,375/x
  3. Step 3: Cross multiply
    61,715x = 87,375 × 87,375
  4. Step 4: Simplify right side
    61,715x = 7,634,390,625
  5. Step 5: Solve for x
    x = 7,634,390,625/61,715
  6. Step 6: Final answer
    x = 123,703.97

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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.