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Finding the Third Proportional to 75,351.75 and 102,616.13

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Solution

The third proportional to 75,351.75 and 102,616.13 is: 139,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,351.75 : 102,616.13 = 102,616.13 : x
  2. Step 2: Convert to fraction form
    75,351.75/102,616.13 = 102,616.13/x
  3. Step 3: Cross multiply
    75,351.75x = 102,616.13 × 102,616.13
  4. Step 4: Simplify right side
    75,351.75x = 10,530,069,110.02
  5. Step 5: Solve for x
    x = 10,530,069,110.02/75,351.75
  6. Step 6: Final answer
    x = 139,745.52

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.