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Finding the Third Proportional to 78,799.50 and 117,920.81

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Solution

The third proportional to 78,799.50 and 117,920.81 is: 176,464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,799.50 : 117,920.81 = 117,920.81 : x
  2. Step 2: Convert to fraction form
    78,799.50/117,920.81 = 117,920.81/x
  3. Step 3: Cross multiply
    78,799.50x = 117,920.81 × 117,920.81
  4. Step 4: Simplify right side
    78,799.50x = 13,905,318,020.66
  5. Step 5: Solve for x
    x = 13,905,318,020.66/78,799.50
  6. Step 6: Final answer
    x = 176,464.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.