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Finding the Third Proportional to 75,331.69 and 102,309.75

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Solution

The third proportional to 75,331.69 and 102,309.75 is: 138,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,331.69 : 102,309.75 = 102,309.75 : x
  2. Step 2: Convert to fraction form
    75,331.69/102,309.75 = 102,309.75/x
  3. Step 3: Cross multiply
    75,331.69x = 102,309.75 × 102,309.75
  4. Step 4: Simplify right side
    75,331.69x = 10,467,284,945.06
  5. Step 5: Solve for x
    x = 10,467,284,945.06/75,331.69
  6. Step 6: Final answer
    x = 138,949.30

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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.