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Finding the Third Proportional to 60,577 and 131,494

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Solution

The third proportional to 60,577 and 131,494 is: 285,432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,577 : 131,494 = 131,494 : x
  2. Step 2: Convert to fraction form
    60,577/131,494 = 131,494/x
  3. Step 3: Cross multiply
    60,577x = 131,494 × 131,494
  4. Step 4: Simplify right side
    60,577x = 17,290,672,036
  5. Step 5: Solve for x
    x = 17,290,672,036/60,577
  6. Step 6: Final answer
    x = 285,432.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.