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Finding the Third Proportional to 129,134 and 279,017

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Solution

The third proportional to 129,134 and 279,017 is: 602,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,134 : 279,017 = 279,017 : x
  2. Step 2: Convert to fraction form
    129,134/279,017 = 279,017/x
  3. Step 3: Cross multiply
    129,134x = 279,017 × 279,017
  4. Step 4: Simplify right side
    129,134x = 77,850,486,289
  5. Step 5: Solve for x
    x = 77,850,486,289/129,134
  6. Step 6: Final answer
    x = 602,865.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.