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Finding the Third Proportional to 98,542 and 151,631

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Solution

The third proportional to 98,542 and 151,631 is: 233,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,542 : 151,631 = 151,631 : x
  2. Step 2: Convert to fraction form
    98,542/151,631 = 151,631/x
  3. Step 3: Cross multiply
    98,542x = 151,631 × 151,631
  4. Step 4: Simplify right side
    98,542x = 22,991,960,161
  5. Step 5: Solve for x
    x = 22,991,960,161/98,542
  6. Step 6: Final answer
    x = 233,321.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.