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Finding the Third Proportional to 60,942 and 92,589

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Solution

The third proportional to 60,942 and 92,589 is: 140,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,942 : 92,589 = 92,589 : x
  2. Step 2: Convert to fraction form
    60,942/92,589 = 92,589/x
  3. Step 3: Cross multiply
    60,942x = 92,589 × 92,589
  4. Step 4: Simplify right side
    60,942x = 8,572,722,921
  5. Step 5: Solve for x
    x = 8,572,722,921/60,942
  6. Step 6: Final answer
    x = 140,670.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.