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Finding the Third Proportional to 104,542 and 159,269

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Solution

The third proportional to 104,542 and 159,269 is: 242,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,542 : 159,269 = 159,269 : x
  2. Step 2: Convert to fraction form
    104,542/159,269 = 159,269/x
  3. Step 3: Cross multiply
    104,542x = 159,269 × 159,269
  4. Step 4: Simplify right side
    104,542x = 25,366,614,361
  5. Step 5: Solve for x
    x = 25,366,614,361/104,542
  6. Step 6: Final answer
    x = 242,645.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.