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Finding the Third Proportional to 106,839 and 177,948

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Solution

The third proportional to 106,839 and 177,948 is: 296,385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,839 : 177,948 = 177,948 : x
  2. Step 2: Convert to fraction form
    106,839/177,948 = 177,948/x
  3. Step 3: Cross multiply
    106,839x = 177,948 × 177,948
  4. Step 4: Simplify right side
    106,839x = 31,665,490,704
  5. Step 5: Solve for x
    x = 31,665,490,704/106,839
  6. Step 6: Final answer
    x = 296,385.13

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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.