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Finding the Third Proportional to 49,906.13 and 75,102.19

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Solution

The third proportional to 49,906.13 and 75,102.19 is: 113,018.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,906.13 : 75,102.19 = 75,102.19 : x
  2. Step 2: Convert to fraction form
    49,906.13/75,102.19 = 75,102.19/x
  3. Step 3: Cross multiply
    49,906.13x = 75,102.19 × 75,102.19
  4. Step 4: Simplify right side
    49,906.13x = 5,640,338,567.29
  5. Step 5: Solve for x
    x = 5,640,338,567.29/49,906.13
  6. Step 6: Final answer
    x = 113,018.96

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