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Finding the Third Proportional to 125,010.75 and 269,568

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Solution

The third proportional to 125,010.75 and 269,568 is: 581,285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,010.75 : 269,568 = 269,568 : x
  2. Step 2: Convert to fraction form
    125,010.75/269,568 = 269,568/x
  3. Step 3: Cross multiply
    125,010.75x = 269,568 × 269,568
  4. Step 4: Simplify right side
    125,010.75x = 72,666,906,624
  5. Step 5: Solve for x
    x = 72,666,906,624/125,010.75
  6. Step 6: Final answer
    x = 581,285.26

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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.