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Finding the Third Proportional to 129,082.88 and 185,915.44

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Solution

The third proportional to 129,082.88 and 185,915.44 is: 267,770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,082.88 : 185,915.44 = 185,915.44 : x
  2. Step 2: Convert to fraction form
    129,082.88/185,915.44 = 185,915.44/x
  3. Step 3: Cross multiply
    129,082.88x = 185,915.44 × 185,915.44
  4. Step 4: Simplify right side
    129,082.88x = 34,564,549,900.82
  5. Step 5: Solve for x
    x = 34,564,549,900.82/129,082.88
  6. Step 6: Final answer
    x = 267,770.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.