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Finding the Third Proportional to 52,974.50 and 80,001.75

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Solution

The third proportional to 52,974.50 and 80,001.75 is: 120,818.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,974.50 : 80,001.75 = 80,001.75 : x
  2. Step 2: Convert to fraction form
    52,974.50/80,001.75 = 80,001.75/x
  3. Step 3: Cross multiply
    52,974.50x = 80,001.75 × 80,001.75
  4. Step 4: Simplify right side
    52,974.50x = 6,400,280,003.06
  5. Step 5: Solve for x
    x = 6,400,280,003.06/52,974.50
  6. Step 6: Final answer
    x = 120,818.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.