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Finding the Third Proportional to 97,082 and 129,434

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Solution

The third proportional to 97,082 and 129,434 is: 172,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,082 : 129,434 = 129,434 : x
  2. Step 2: Convert to fraction form
    97,082/129,434 = 129,434/x
  3. Step 3: Cross multiply
    97,082x = 129,434 × 129,434
  4. Step 4: Simplify right side
    97,082x = 16,753,160,356
  5. Step 5: Solve for x
    x = 16,753,160,356/97,082
  6. Step 6: Final answer
    x = 172,567.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.