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Finding the Third Proportional to 71,369 and 96,134

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Solution

The third proportional to 71,369 and 96,134 is: 129,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,369 : 96,134 = 96,134 : x
  2. Step 2: Convert to fraction form
    71,369/96,134 = 96,134/x
  3. Step 3: Cross multiply
    71,369x = 96,134 × 96,134
  4. Step 4: Simplify right side
    71,369x = 9,241,745,956
  5. Step 5: Solve for x
    x = 9,241,745,956/71,369
  6. Step 6: Final answer
    x = 129,492.44

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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.