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Finding the Third Proportional to 48,711 and 104,700.75

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Solution

The third proportional to 48,711 and 104,700.75 is: 225,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,711 : 104,700.75 = 104,700.75 : x
  2. Step 2: Convert to fraction form
    48,711/104,700.75 = 104,700.75/x
  3. Step 3: Cross multiply
    48,711x = 104,700.75 × 104,700.75
  4. Step 4: Simplify right side
    48,711x = 10,962,247,050.56
  5. Step 5: Solve for x
    x = 10,962,247,050.56/48,711
  6. Step 6: Final answer
    x = 225,046.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.