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Finding the Third Proportional to 75,741.75 and 159,472.13

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Solution

The third proportional to 75,741.75 and 159,472.13 is: 335,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,741.75 : 159,472.13 = 159,472.13 : x
  2. Step 2: Convert to fraction form
    75,741.75/159,472.13 = 159,472.13/x
  3. Step 3: Cross multiply
    75,741.75x = 159,472.13 × 159,472.13
  4. Step 4: Simplify right side
    75,741.75x = 25,431,358,652.02
  5. Step 5: Solve for x
    x = 25,431,358,652.02/75,741.75
  6. Step 6: Final answer
    x = 335,764.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.