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Finding the Third Proportional to 75,478.50 and 121,344.75

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Solution

The third proportional to 75,478.50 and 121,344.75 is: 195,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,478.50 : 121,344.75 = 121,344.75 : x
  2. Step 2: Convert to fraction form
    75,478.50/121,344.75 = 121,344.75/x
  3. Step 3: Cross multiply
    75,478.50x = 121,344.75 × 121,344.75
  4. Step 4: Simplify right side
    75,478.50x = 14,724,548,352.56
  5. Step 5: Solve for x
    x = 14,724,548,352.56/75,478.50
  6. Step 6: Final answer
    x = 195,082.68

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.