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Finding the Third Proportional to 106,469 and 177,448

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Solution

The third proportional to 106,469 and 177,448 is: 295,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,469 : 177,448 = 177,448 : x
  2. Step 2: Convert to fraction form
    106,469/177,448 = 177,448/x
  3. Step 3: Cross multiply
    106,469x = 177,448 × 177,448
  4. Step 4: Simplify right side
    106,469x = 31,487,792,704
  5. Step 5: Solve for x
    x = 31,487,792,704/106,469
  6. Step 6: Final answer
    x = 295,746.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.