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Finding the Third Proportional to 125,536 and 273,600

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Solution

The third proportional to 125,536 and 273,600 is: 596,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,536 : 273,600 = 273,600 : x
  2. Step 2: Convert to fraction form
    125,536/273,600 = 273,600/x
  3. Step 3: Cross multiply
    125,536x = 273,600 × 273,600
  4. Step 4: Simplify right side
    125,536x = 74,856,960,000
  5. Step 5: Solve for x
    x = 74,856,960,000/125,536
  6. Step 6: Final answer
    x = 596,298.75

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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.