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Finding the Third Proportional to 83,811 and 178,854

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Solution

The third proportional to 83,811 and 178,854 is: 381,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,811 : 178,854 = 178,854 : x
  2. Step 2: Convert to fraction form
    83,811/178,854 = 178,854/x
  3. Step 3: Cross multiply
    83,811x = 178,854 × 178,854
  4. Step 4: Simplify right side
    83,811x = 31,988,753,316
  5. Step 5: Solve for x
    x = 31,988,753,316/83,811
  6. Step 6: Final answer
    x = 381,677.27

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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.