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Finding the Third Proportional to 106,466 and 177,443

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Solution

The third proportional to 106,466 and 177,443 is: 295,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,466 : 177,443 = 177,443 : x
  2. Step 2: Convert to fraction form
    106,466/177,443 = 177,443/x
  3. Step 3: Cross multiply
    106,466x = 177,443 × 177,443
  4. Step 4: Simplify right side
    106,466x = 31,486,018,249
  5. Step 5: Solve for x
    x = 31,486,018,249/106,466
  6. Step 6: Final answer
    x = 295,737.78

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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.