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Finding the Third Proportional to 54,468.75 and 75,006.75

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Solution

The third proportional to 54,468.75 and 75,006.75 is: 103,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,468.75 : 75,006.75 = 75,006.75 : x
  2. Step 2: Convert to fraction form
    54,468.75/75,006.75 = 75,006.75/x
  3. Step 3: Cross multiply
    54,468.75x = 75,006.75 × 75,006.75
  4. Step 4: Simplify right side
    54,468.75x = 5,626,012,545.56
  5. Step 5: Solve for x
    x = 5,626,012,545.56/54,468.75
  6. Step 6: Final answer
    x = 103,288.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.