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Finding the Third Proportional to 48,062 and 73,975

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Solution

The third proportional to 48,062 and 73,975 is: 113,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,062 : 73,975 = 73,975 : x
  2. Step 2: Convert to fraction form
    48,062/73,975 = 73,975/x
  3. Step 3: Cross multiply
    48,062x = 73,975 × 73,975
  4. Step 4: Simplify right side
    48,062x = 5,472,300,625
  5. Step 5: Solve for x
    x = 5,472,300,625/48,062
  6. Step 6: Final answer
    x = 113,859.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.