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Finding the Third Proportional to 81,884.25 and 173,608.88

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Solution

The third proportional to 81,884.25 and 173,608.88 is: 368,081.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,884.25 : 173,608.88 = 173,608.88 : x
  2. Step 2: Convert to fraction form
    81,884.25/173,608.88 = 173,608.88/x
  3. Step 3: Cross multiply
    81,884.25x = 173,608.88 × 173,608.88
  4. Step 4: Simplify right side
    81,884.25x = 30,140,041,478.77
  5. Step 5: Solve for x
    x = 30,140,041,478.77/81,884.25
  6. Step 6: Final answer
    x = 368,081.06

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.