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Finding the Third Proportional to 61,331 and 92,301

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Solution

The third proportional to 61,331 and 92,301 is: 138,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,331 : 92,301 = 92,301 : x
  2. Step 2: Convert to fraction form
    61,331/92,301 = 92,301/x
  3. Step 3: Cross multiply
    61,331x = 92,301 × 92,301
  4. Step 4: Simplify right side
    61,331x = 8,519,474,601
  5. Step 5: Solve for x
    x = 8,519,474,601/61,331
  6. Step 6: Final answer
    x = 138,909.76

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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.