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Finding the Third Proportional to 62,142 and 96,399

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Solution

The third proportional to 62,142 and 96,399 is: 149,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,142 : 96,399 = 96,399 : x
  2. Step 2: Convert to fraction form
    62,142/96,399 = 96,399/x
  3. Step 3: Cross multiply
    62,142x = 96,399 × 96,399
  4. Step 4: Simplify right side
    62,142x = 9,292,767,201
  5. Step 5: Solve for x
    x = 9,292,767,201/62,142
  6. Step 6: Final answer
    x = 149,540.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.