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Finding the Third Proportional to 125,031.38 and 273,778.88

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Solution

The third proportional to 125,031.38 and 273,778.88 is: 599,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,031.38 : 273,778.88 = 273,778.88 : x
  2. Step 2: Convert to fraction form
    125,031.38/273,778.88 = 273,778.88/x
  3. Step 3: Cross multiply
    125,031.38x = 273,778.88 × 273,778.88
  4. Step 4: Simplify right side
    125,031.38x = 74,954,872,396.27
  5. Step 5: Solve for x
    x = 74,954,872,396.27/125,031.38
  6. Step 6: Final answer
    x = 599,488.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.