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Finding the Third Proportional to 62,980 and 95,077

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Solution

The third proportional to 62,980 and 95,077 is: 143,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,980 : 95,077 = 95,077 : x
  2. Step 2: Convert to fraction form
    62,980/95,077 = 95,077/x
  3. Step 3: Cross multiply
    62,980x = 95,077 × 95,077
  4. Step 4: Simplify right side
    62,980x = 9,039,635,929
  5. Step 5: Solve for x
    x = 9,039,635,929/62,980
  6. Step 6: Final answer
    x = 143,531.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.