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Finding the Third Proportional to 98,540 and 151,626

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Solution

The third proportional to 98,540 and 151,626 is: 233,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,540 : 151,626 = 151,626 : x
  2. Step 2: Convert to fraction form
    98,540/151,626 = 151,626/x
  3. Step 3: Cross multiply
    98,540x = 151,626 × 151,626
  4. Step 4: Simplify right side
    98,540x = 22,990,443,876
  5. Step 5: Solve for x
    x = 22,990,443,876/98,540
  6. Step 6: Final answer
    x = 233,310.78

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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.