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Finding the Third Proportional to 51,870 and 80,107.50

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Solution

The third proportional to 51,870 and 80,107.50 is: 123,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,870 : 80,107.50 = 80,107.50 : x
  2. Step 2: Convert to fraction form
    51,870/80,107.50 = 80,107.50/x
  3. Step 3: Cross multiply
    51,870x = 80,107.50 × 80,107.50
  4. Step 4: Simplify right side
    51,870x = 6,417,211,556.25
  5. Step 5: Solve for x
    x = 6,417,211,556.25/51,870
  6. Step 6: Final answer
    x = 123,717.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.