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Finding the Third Proportional to 124,562 and 269,860

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Solution

The third proportional to 124,562 and 269,860 is: 584,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,562 : 269,860 = 269,860 : x
  2. Step 2: Convert to fraction form
    124,562/269,860 = 269,860/x
  3. Step 3: Cross multiply
    124,562x = 269,860 × 269,860
  4. Step 4: Simplify right side
    124,562x = 72,824,419,600
  5. Step 5: Solve for x
    x = 72,824,419,600/124,562
  6. Step 6: Final answer
    x = 584,643.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.