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Finding the Third Proportional to 129,672 and 281,475

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Solution

The third proportional to 129,672 and 281,475 is: 610,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,672 : 281,475 = 281,475 : x
  2. Step 2: Convert to fraction form
    129,672/281,475 = 281,475/x
  3. Step 3: Cross multiply
    129,672x = 281,475 × 281,475
  4. Step 4: Simplify right side
    129,672x = 79,228,175,625
  5. Step 5: Solve for x
    x = 79,228,175,625/129,672
  6. Step 6: Final answer
    x = 610,989.08

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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.