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Finding the Third Proportional to 84,156 and 181,433

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Solution

The third proportional to 84,156 and 181,433 is: 391,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,156 : 181,433 = 181,433 : x
  2. Step 2: Convert to fraction form
    84,156/181,433 = 181,433/x
  3. Step 3: Cross multiply
    84,156x = 181,433 × 181,433
  4. Step 4: Simplify right side
    84,156x = 32,917,933,489
  5. Step 5: Solve for x
    x = 32,917,933,489/84,156
  6. Step 6: Final answer
    x = 391,153.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.