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Finding the Third Proportional to 48,159.75 and 102,996.75

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Solution

The third proportional to 48,159.75 and 102,996.75 is: 220,273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,159.75 : 102,996.75 = 102,996.75 : x
  2. Step 2: Convert to fraction form
    48,159.75/102,996.75 = 102,996.75/x
  3. Step 3: Cross multiply
    48,159.75x = 102,996.75 × 102,996.75
  4. Step 4: Simplify right side
    48,159.75x = 10,608,330,510.56
  5. Step 5: Solve for x
    x = 10,608,330,510.56/48,159.75
  6. Step 6: Final answer
    x = 220,273.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.