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Finding the Third Proportional to 62,961 and 95,048

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Solution

The third proportional to 62,961 and 95,048 is: 143,487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,961 : 95,048 = 95,048 : x
  2. Step 2: Convert to fraction form
    62,961/95,048 = 95,048/x
  3. Step 3: Cross multiply
    62,961x = 95,048 × 95,048
  4. Step 4: Simplify right side
    62,961x = 9,034,122,304
  5. Step 5: Solve for x
    x = 9,034,122,304/62,961
  6. Step 6: Final answer
    x = 143,487.59

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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.