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Finding the Third Proportional to 125,680 and 269,352

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Solution

The third proportional to 125,680 and 269,352 is: 577,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,680 : 269,352 = 269,352 : x
  2. Step 2: Convert to fraction form
    125,680/269,352 = 269,352/x
  3. Step 3: Cross multiply
    125,680x = 269,352 × 269,352
  4. Step 4: Simplify right side
    125,680x = 72,550,499,904
  5. Step 5: Solve for x
    x = 72,550,499,904/125,680
  6. Step 6: Final answer
    x = 577,263.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.