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Finding the Third Proportional to 125,131 and 269,947

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Solution

The third proportional to 125,131 and 269,947 is: 582,360.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,131 : 269,947 = 269,947 : x
  2. Step 2: Convert to fraction form
    125,131/269,947 = 269,947/x
  3. Step 3: Cross multiply
    125,131x = 269,947 × 269,947
  4. Step 4: Simplify right side
    125,131x = 72,871,382,809
  5. Step 5: Solve for x
    x = 72,871,382,809/125,131
  6. Step 6: Final answer
    x = 582,360.75

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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.