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Finding the Third Proportional to 125,691.75 and 273,962.25

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Solution

The third proportional to 125,691.75 and 273,962.25 is: 597,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,691.75 : 273,962.25 = 273,962.25 : x
  2. Step 2: Convert to fraction form
    125,691.75/273,962.25 = 273,962.25/x
  3. Step 3: Cross multiply
    125,691.75x = 273,962.25 × 273,962.25
  4. Step 4: Simplify right side
    125,691.75x = 75,055,314,425.06
  5. Step 5: Solve for x
    x = 75,055,314,425.06/125,691.75
  6. Step 6: Final answer
    x = 597,137.95

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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.