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Finding the Third Proportional to 125,661.38 and 269,061.75

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Solution

The third proportional to 125,661.38 and 269,061.75 is: 576,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,661.38 : 269,061.75 = 269,061.75 : x
  2. Step 2: Convert to fraction form
    125,661.38/269,061.75 = 269,061.75/x
  3. Step 3: Cross multiply
    125,661.38x = 269,061.75 × 269,061.75
  4. Step 4: Simplify right side
    125,661.38x = 72,394,225,313.06
  5. Step 5: Solve for x
    x = 72,394,225,313.06/125,661.38
  6. Step 6: Final answer
    x = 576,105.63

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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.