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Finding the Third Proportional to 84,832.50 and 131,234.25

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Solution

The third proportional to 84,832.50 and 131,234.25 is: 203,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,832.50 : 131,234.25 = 131,234.25 : x
  2. Step 2: Convert to fraction form
    84,832.50/131,234.25 = 131,234.25/x
  3. Step 3: Cross multiply
    84,832.50x = 131,234.25 × 131,234.25
  4. Step 4: Simplify right side
    84,832.50x = 17,222,428,373.06
  5. Step 5: Solve for x
    x = 17,222,428,373.06/84,832.50
  6. Step 6: Final answer
    x = 203,016.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.