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Finding the Third Proportional to 105,132 and 157,542

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Solution

The third proportional to 105,132 and 157,542 is: 236,079.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,132 : 157,542 = 157,542 : x
  2. Step 2: Convert to fraction form
    105,132/157,542 = 157,542/x
  3. Step 3: Cross multiply
    105,132x = 157,542 × 157,542
  4. Step 4: Simplify right side
    105,132x = 24,819,481,764
  5. Step 5: Solve for x
    x = 24,819,481,764/105,132
  6. Step 6: Final answer
    x = 236,079.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.