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Finding the Third Proportional to 96,256 and 149,620

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Solution

The third proportional to 96,256 and 149,620 is: 232,568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,256 : 149,620 = 149,620 : x
  2. Step 2: Convert to fraction form
    96,256/149,620 = 149,620/x
  3. Step 3: Cross multiply
    96,256x = 149,620 × 149,620
  4. Step 4: Simplify right side
    96,256x = 22,386,144,400
  5. Step 5: Solve for x
    x = 22,386,144,400/96,256
  6. Step 6: Final answer
    x = 232,568.82

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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.