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Finding the Third Proportional to 125,640.56 and 270,962.72

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Solution

The third proportional to 125,640.56 and 270,962.72 is: 584,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,640.56 : 270,962.72 = 270,962.72 : x
  2. Step 2: Convert to fraction form
    125,640.56/270,962.72 = 270,962.72/x
  3. Step 3: Cross multiply
    125,640.56x = 270,962.72 × 270,962.72
  4. Step 4: Simplify right side
    125,640.56x = 73,420,794,952.39
  5. Step 5: Solve for x
    x = 73,420,794,952.39/125,640.56
  6. Step 6: Final answer
    x = 584,371.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.