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Finding the Third Proportional to 96,260 and 149,626

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Solution

The third proportional to 96,260 and 149,626 is: 232,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,260 : 149,626 = 149,626 : x
  2. Step 2: Convert to fraction form
    96,260/149,626 = 149,626/x
  3. Step 3: Cross multiply
    96,260x = 149,626 × 149,626
  4. Step 4: Simplify right side
    96,260x = 22,387,939,876
  5. Step 5: Solve for x
    x = 22,387,939,876/96,260
  6. Step 6: Final answer
    x = 232,577.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.