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Finding the Third Proportional to 57,357.28 and 123,015.66

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Solution

The third proportional to 57,357.28 and 123,015.66 is: 263,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,357.28 : 123,015.66 = 123,015.66 : x
  2. Step 2: Convert to fraction form
    57,357.28/123,015.66 = 123,015.66/x
  3. Step 3: Cross multiply
    57,357.28x = 123,015.66 × 123,015.66
  4. Step 4: Simplify right side
    57,357.28x = 15,132,851,682.62
  5. Step 5: Solve for x
    x = 15,132,851,682.62/57,357.28
  6. Step 6: Final answer
    x = 263,834.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.