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Finding the Third Proportional to 106,366 and 157,449

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Solution

The third proportional to 106,366 and 157,449 is: 233,064.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,366 : 157,449 = 157,449 : x
  2. Step 2: Convert to fraction form
    106,366/157,449 = 157,449/x
  3. Step 3: Cross multiply
    106,366x = 157,449 × 157,449
  4. Step 4: Simplify right side
    106,366x = 24,790,187,601
  5. Step 5: Solve for x
    x = 24,790,187,601/106,366
  6. Step 6: Final answer
    x = 233,064.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.