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Finding the Third Proportional to 125,011.25 and 269,569

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Solution

The third proportional to 125,011.25 and 269,569 is: 581,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,011.25 : 269,569 = 269,569 : x
  2. Step 2: Convert to fraction form
    125,011.25/269,569 = 269,569/x
  3. Step 3: Cross multiply
    125,011.25x = 269,569 × 269,569
  4. Step 4: Simplify right side
    125,011.25x = 72,667,445,761
  5. Step 5: Solve for x
    x = 72,667,445,761/125,011.25
  6. Step 6: Final answer
    x = 581,287.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.