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Finding the Third Proportional to 104,542 and 159,270

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Solution

The third proportional to 104,542 and 159,270 is: 242,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,542 : 159,270 = 159,270 : x
  2. Step 2: Convert to fraction form
    104,542/159,270 = 159,270/x
  3. Step 3: Cross multiply
    104,542x = 159,270 × 159,270
  4. Step 4: Simplify right side
    104,542x = 25,366,932,900
  5. Step 5: Solve for x
    x = 25,366,932,900/104,542
  6. Step 6: Final answer
    x = 242,648.25

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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.