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Finding the Third Proportional to 83,974 and 177,427

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Solution

The third proportional to 83,974 and 177,427 is: 374,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,974 : 177,427 = 177,427 : x
  2. Step 2: Convert to fraction form
    83,974/177,427 = 177,427/x
  3. Step 3: Cross multiply
    83,974x = 177,427 × 177,427
  4. Step 4: Simplify right side
    83,974x = 31,480,340,329
  5. Step 5: Solve for x
    x = 31,480,340,329/83,974
  6. Step 6: Final answer
    x = 374,881.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.