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Finding the Third Proportional to 78,367.50 and 121,082.25

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Solution

The third proportional to 78,367.50 and 121,082.25 is: 187,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,367.50 : 121,082.25 = 121,082.25 : x
  2. Step 2: Convert to fraction form
    78,367.50/121,082.25 = 121,082.25/x
  3. Step 3: Cross multiply
    78,367.50x = 121,082.25 × 121,082.25
  4. Step 4: Simplify right side
    78,367.50x = 14,660,911,265.06
  5. Step 5: Solve for x
    x = 14,660,911,265.06/78,367.50
  6. Step 6: Final answer
    x = 187,078.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.