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Finding the Third Proportional to 50,266.13 and 75,151.69

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Solution

The third proportional to 50,266.13 and 75,151.69 is: 112,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,266.13 : 75,151.69 = 75,151.69 : x
  2. Step 2: Convert to fraction form
    50,266.13/75,151.69 = 75,151.69/x
  3. Step 3: Cross multiply
    50,266.13x = 75,151.69 × 75,151.69
  4. Step 4: Simplify right side
    50,266.13x = 5,647,776,134.10
  5. Step 5: Solve for x
    x = 5,647,776,134.10/50,266.13
  6. Step 6: Final answer
    x = 112,357.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.