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Finding the Third Proportional to 78,367.50 and 166,719

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Solution

The third proportional to 78,367.50 and 166,719 is: 354,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,367.50 : 166,719 = 166,719 : x
  2. Step 2: Convert to fraction form
    78,367.50/166,719 = 166,719/x
  3. Step 3: Cross multiply
    78,367.50x = 166,719 × 166,719
  4. Step 4: Simplify right side
    78,367.50x = 27,795,224,961
  5. Step 5: Solve for x
    x = 27,795,224,961/78,367.50
  6. Step 6: Final answer
    x = 354,677.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.