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Finding the Third Proportional to 115,542 and 155,934

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Solution

The third proportional to 115,542 and 155,934 is: 210,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,542 : 155,934 = 155,934 : x
  2. Step 2: Convert to fraction form
    115,542/155,934 = 155,934/x
  3. Step 3: Cross multiply
    115,542x = 155,934 × 155,934
  4. Step 4: Simplify right side
    115,542x = 24,315,412,356
  5. Step 5: Solve for x
    x = 24,315,412,356/115,542
  6. Step 6: Final answer
    x = 210,446.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.