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Finding the Third Proportional to 96,816 and 149,554

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Solution

The third proportional to 96,816 and 149,554 is: 231,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,816 : 149,554 = 149,554 : x
  2. Step 2: Convert to fraction form
    96,816/149,554 = 149,554/x
  3. Step 3: Cross multiply
    96,816x = 149,554 × 149,554
  4. Step 4: Simplify right side
    96,816x = 22,366,398,916
  5. Step 5: Solve for x
    x = 22,366,398,916/96,816
  6. Step 6: Final answer
    x = 231,019.65

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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.