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Finding the Third Proportional to 60,980 and 92,551

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Solution

The third proportional to 60,980 and 92,551 is: 140,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,980 : 92,551 = 92,551 : x
  2. Step 2: Convert to fraction form
    60,980/92,551 = 92,551/x
  3. Step 3: Cross multiply
    60,980x = 92,551 × 92,551
  4. Step 4: Simplify right side
    60,980x = 8,565,687,601
  5. Step 5: Solve for x
    x = 8,565,687,601/60,980
  6. Step 6: Final answer
    x = 140,467.16

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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.