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Finding the Third Proportional to 54,472.50 and 75,012

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Solution

The third proportional to 54,472.50 and 75,012 is: 103,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,472.50 : 75,012 = 75,012 : x
  2. Step 2: Convert to fraction form
    54,472.50/75,012 = 75,012/x
  3. Step 3: Cross multiply
    54,472.50x = 75,012 × 75,012
  4. Step 4: Simplify right side
    54,472.50x = 5,626,800,144
  5. Step 5: Solve for x
    x = 5,626,800,144/54,472.50
  6. Step 6: Final answer
    x = 103,296.16

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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.