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Finding the Third Proportional to 125,736 and 269,448

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Solution

The third proportional to 125,736 and 269,448 is: 577,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,736 : 269,448 = 269,448 : x
  2. Step 2: Convert to fraction form
    125,736/269,448 = 269,448/x
  3. Step 3: Cross multiply
    125,736x = 269,448 × 269,448
  4. Step 4: Simplify right side
    125,736x = 72,602,224,704
  5. Step 5: Solve for x
    x = 72,602,224,704/125,736
  6. Step 6: Final answer
    x = 577,417.96

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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.