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Finding the Third Proportional to 75,331.69 and 113,969.25

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Solution

The third proportional to 75,331.69 and 113,969.25 is: 172,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,331.69 : 113,969.25 = 113,969.25 : x
  2. Step 2: Convert to fraction form
    75,331.69/113,969.25 = 113,969.25/x
  3. Step 3: Cross multiply
    75,331.69x = 113,969.25 × 113,969.25
  4. Step 4: Simplify right side
    75,331.69x = 12,988,989,945.56
  5. Step 5: Solve for x
    x = 12,988,989,945.56/75,331.69
  6. Step 6: Final answer
    x = 172,423.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.