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Finding the Third Proportional to 125,501 and 269,200

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Solution

The third proportional to 125,501 and 269,200 is: 577,434.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,501 : 269,200 = 269,200 : x
  2. Step 2: Convert to fraction form
    125,501/269,200 = 269,200/x
  3. Step 3: Cross multiply
    125,501x = 269,200 × 269,200
  4. Step 4: Simplify right side
    125,501x = 72,468,640,000
  5. Step 5: Solve for x
    x = 72,468,640,000/125,501
  6. Step 6: Final answer
    x = 577,434.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.