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Finding the Third Proportional to 71,142 and 96,462

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Solution

The third proportional to 71,142 and 96,462 is: 130,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,142 : 96,462 = 96,462 : x
  2. Step 2: Convert to fraction form
    71,142/96,462 = 96,462/x
  3. Step 3: Cross multiply
    71,142x = 96,462 × 96,462
  4. Step 4: Simplify right side
    71,142x = 9,304,917,444
  5. Step 5: Solve for x
    x = 9,304,917,444/71,142
  6. Step 6: Final answer
    x = 130,793.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.