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Finding the Third Proportional to 84,179.25 and 187,042

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Solution

The third proportional to 84,179.25 and 187,042 is: 415,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,179.25 : 187,042 = 187,042 : x
  2. Step 2: Convert to fraction form
    84,179.25/187,042 = 187,042/x
  3. Step 3: Cross multiply
    84,179.25x = 187,042 × 187,042
  4. Step 4: Simplify right side
    84,179.25x = 34,984,709,764
  5. Step 5: Solve for x
    x = 34,984,709,764/84,179.25
  6. Step 6: Final answer
    x = 415,597.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.