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Finding the Third Proportional to 125,680 and 273,524

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Solution

The third proportional to 125,680 and 273,524 is: 595,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,680 : 273,524 = 273,524 : x
  2. Step 2: Convert to fraction form
    125,680/273,524 = 273,524/x
  3. Step 3: Cross multiply
    125,680x = 273,524 × 273,524
  4. Step 4: Simplify right side
    125,680x = 74,815,378,576
  5. Step 5: Solve for x
    x = 74,815,378,576/125,680
  6. Step 6: Final answer
    x = 595,284.68

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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.