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Finding the Third Proportional to 60,376 and 95,741

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Solution

The third proportional to 60,376 and 95,741 is: 151,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,376 : 95,741 = 95,741 : x
  2. Step 2: Convert to fraction form
    60,376/95,741 = 95,741/x
  3. Step 3: Cross multiply
    60,376x = 95,741 × 95,741
  4. Step 4: Simplify right side
    60,376x = 9,166,339,081
  5. Step 5: Solve for x
    x = 9,166,339,081/60,376
  6. Step 6: Final answer
    x = 151,820.91

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.