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Finding the Third Proportional to 83,074 and 177,026

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Solution

The third proportional to 83,074 and 177,026 is: 377,232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,074 : 177,026 = 177,026 : x
  2. Step 2: Convert to fraction form
    83,074/177,026 = 177,026/x
  3. Step 3: Cross multiply
    83,074x = 177,026 × 177,026
  4. Step 4: Simplify right side
    83,074x = 31,338,204,676
  5. Step 5: Solve for x
    x = 31,338,204,676/83,074
  6. Step 6: Final answer
    x = 377,232.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.