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Finding the Third Proportional to 78,231.13 and 160,181.13

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Solution

The third proportional to 78,231.13 and 160,181.13 is: 327,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,231.13 : 160,181.13 = 160,181.13 : x
  2. Step 2: Convert to fraction form
    78,231.13/160,181.13 = 160,181.13/x
  3. Step 3: Cross multiply
    78,231.13x = 160,181.13 × 160,181.13
  4. Step 4: Simplify right side
    78,231.13x = 25,657,992,806.27
  5. Step 5: Solve for x
    x = 25,657,992,806.27/78,231.13
  6. Step 6: Final answer
    x = 327,976.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.