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Finding the Third Proportional to 129,089 and 279,624

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Solution

The third proportional to 129,089 and 279,624 is: 605,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,089 : 279,624 = 279,624 : x
  2. Step 2: Convert to fraction form
    129,089/279,624 = 279,624/x
  3. Step 3: Cross multiply
    129,089x = 279,624 × 279,624
  4. Step 4: Simplify right side
    129,089x = 78,189,581,376
  5. Step 5: Solve for x
    x = 78,189,581,376/129,089
  6. Step 6: Final answer
    x = 605,702.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.