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Finding the Third Proportional to 71,381 and 96,151

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Solution

The third proportional to 71,381 and 96,151 is: 129,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,381 : 96,151 = 96,151 : x
  2. Step 2: Convert to fraction form
    71,381/96,151 = 96,151/x
  3. Step 3: Cross multiply
    71,381x = 96,151 × 96,151
  4. Step 4: Simplify right side
    71,381x = 9,245,014,801
  5. Step 5: Solve for x
    x = 9,245,014,801/71,381
  6. Step 6: Final answer
    x = 129,516.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.