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Finding the Third Proportional to 48,500.25 and 102,870.75

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Solution

The third proportional to 48,500.25 and 102,870.75 is: 218,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,500.25 : 102,870.75 = 102,870.75 : x
  2. Step 2: Convert to fraction form
    48,500.25/102,870.75 = 102,870.75/x
  3. Step 3: Cross multiply
    48,500.25x = 102,870.75 × 102,870.75
  4. Step 4: Simplify right side
    48,500.25x = 10,582,391,205.56
  5. Step 5: Solve for x
    x = 10,582,391,205.56/48,500.25
  6. Step 6: Final answer
    x = 218,192.51

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Why These Related Problems?

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