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Finding the Third Proportional to 71,383 and 96,154

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Solution

The third proportional to 71,383 and 96,154 is: 129,520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,383 : 96,154 = 96,154 : x
  2. Step 2: Convert to fraction form
    71,383/96,154 = 96,154/x
  3. Step 3: Cross multiply
    71,383x = 96,154 × 96,154
  4. Step 4: Simplify right side
    71,383x = 9,245,591,716
  5. Step 5: Solve for x
    x = 9,245,591,716/71,383
  6. Step 6: Final answer
    x = 129,520.92

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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.