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Finding the Third Proportional to 129,114 and 279,674

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Solution

The third proportional to 129,114 and 279,674 is: 605,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,114 : 279,674 = 279,674 : x
  2. Step 2: Convert to fraction form
    129,114/279,674 = 279,674/x
  3. Step 3: Cross multiply
    129,114x = 279,674 × 279,674
  4. Step 4: Simplify right side
    129,114x = 78,217,546,276
  5. Step 5: Solve for x
    x = 78,217,546,276/129,114
  6. Step 6: Final answer
    x = 605,802.21

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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.