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Finding the Third Proportional to 75,431.25 and 157,062.38

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Solution

The third proportional to 75,431.25 and 157,062.38 is: 327,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,431.25 : 157,062.38 = 157,062.38 : x
  2. Step 2: Convert to fraction form
    75,431.25/157,062.38 = 157,062.38/x
  3. Step 3: Cross multiply
    75,431.25x = 157,062.38 × 157,062.38
  4. Step 4: Simplify right side
    75,431.25x = 24,668,589,640.64
  5. Step 5: Solve for x
    x = 24,668,589,640.64/75,431.25
  6. Step 6: Final answer
    x = 327,034.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.