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Finding the Third Proportional to 124,398 and 269,793

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Solution

The third proportional to 124,398 and 269,793 is: 585,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,398 : 269,793 = 269,793 : x
  2. Step 2: Convert to fraction form
    124,398/269,793 = 269,793/x
  3. Step 3: Cross multiply
    124,398x = 269,793 × 269,793
  4. Step 4: Simplify right side
    124,398x = 72,788,262,849
  5. Step 5: Solve for x
    x = 72,788,262,849/124,398
  6. Step 6: Final answer
    x = 585,124.06

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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.