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Finding the Third Proportional to 47,918.25 and 75,016.13

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Solution

The third proportional to 47,918.25 and 75,016.13 is: 117,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,918.25 : 75,016.13 = 75,016.13 : x
  2. Step 2: Convert to fraction form
    47,918.25/75,016.13 = 75,016.13/x
  3. Step 3: Cross multiply
    47,918.25x = 75,016.13 × 75,016.13
  4. Step 4: Simplify right side
    47,918.25x = 5,627,419,010.02
  5. Step 5: Solve for x
    x = 5,627,419,010.02/47,918.25
  6. Step 6: Final answer
    x = 117,437.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.