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Finding the Third Proportional to 52,103.25 and 80,728.88

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Solution

The third proportional to 52,103.25 and 80,728.88 is: 125,081.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,103.25 : 80,728.88 = 80,728.88 : x
  2. Step 2: Convert to fraction form
    52,103.25/80,728.88 = 80,728.88/x
  3. Step 3: Cross multiply
    52,103.25x = 80,728.88 × 80,728.88
  4. Step 4: Simplify right side
    52,103.25x = 6,517,151,258.77
  5. Step 5: Solve for x
    x = 6,517,151,258.77/52,103.25
  6. Step 6: Final answer
    x = 125,081.47

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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.