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Finding the Third Proportional to 129,082 and 281,129.38

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Solution

The third proportional to 129,082 and 281,129.38 is: 612,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,082 : 281,129.38 = 281,129.38 : x
  2. Step 2: Convert to fraction form
    129,082/281,129.38 = 281,129.38/x
  3. Step 3: Cross multiply
    129,082x = 281,129.38 × 281,129.38
  4. Step 4: Simplify right side
    129,082x = 79,033,725,487.89
  5. Step 5: Solve for x
    x = 79,033,725,487.89/129,082
  6. Step 6: Final answer
    x = 612,275.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.