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Finding the Third Proportional to 96,464 and 149,349

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Solution

The third proportional to 96,464 and 149,349 is: 231,227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,464 : 149,349 = 149,349 : x
  2. Step 2: Convert to fraction form
    96,464/149,349 = 149,349/x
  3. Step 3: Cross multiply
    96,464x = 149,349 × 149,349
  4. Step 4: Simplify right side
    96,464x = 22,305,123,801
  5. Step 5: Solve for x
    x = 22,305,123,801/96,464
  6. Step 6: Final answer
    x = 231,227.44

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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.