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Finding the Third Proportional to 78,177 and 168,517.50

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Solution

The third proportional to 78,177 and 168,517.50 is: 363,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,177 : 168,517.50 = 168,517.50 : x
  2. Step 2: Convert to fraction form
    78,177/168,517.50 = 168,517.50/x
  3. Step 3: Cross multiply
    78,177x = 168,517.50 × 168,517.50
  4. Step 4: Simplify right side
    78,177x = 28,398,147,806.25
  5. Step 5: Solve for x
    x = 28,398,147,806.25/78,177
  6. Step 6: Final answer
    x = 363,254.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.