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Finding the Third Proportional to 124,975 and 269,911

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Solution

The third proportional to 124,975 and 269,911 is: 582,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,975 : 269,911 = 269,911 : x
  2. Step 2: Convert to fraction form
    124,975/269,911 = 269,911/x
  3. Step 3: Cross multiply
    124,975x = 269,911 × 269,911
  4. Step 4: Simplify right side
    124,975x = 72,851,947,921
  5. Step 5: Solve for x
    x = 72,851,947,921/124,975
  6. Step 6: Final answer
    x = 582,932.17

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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.