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Finding the Third Proportional to 84,327 and 126,034.50

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Solution

The third proportional to 84,327 and 126,034.50 is: 188,370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,327 : 126,034.50 = 126,034.50 : x
  2. Step 2: Convert to fraction form
    84,327/126,034.50 = 126,034.50/x
  3. Step 3: Cross multiply
    84,327x = 126,034.50 × 126,034.50
  4. Step 4: Simplify right side
    84,327x = 15,884,695,190.25
  5. Step 5: Solve for x
    x = 15,884,695,190.25/84,327
  6. Step 6: Final answer
    x = 188,370.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.