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Finding the Third Proportional to 89,521 and 129,463

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Solution

The third proportional to 89,521 and 129,463 is: 187,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,521 : 129,463 = 129,463 : x
  2. Step 2: Convert to fraction form
    89,521/129,463 = 129,463/x
  3. Step 3: Cross multiply
    89,521x = 129,463 × 129,463
  4. Step 4: Simplify right side
    89,521x = 16,760,668,369
  5. Step 5: Solve for x
    x = 16,760,668,369/89,521
  6. Step 6: Final answer
    x = 187,226.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.