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Finding the Third Proportional to 49,902.75 and 102,133.88

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Solution

The third proportional to 49,902.75 and 102,133.88 is: 209,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902.75 : 102,133.88 = 102,133.88 : x
  2. Step 2: Convert to fraction form
    49,902.75/102,133.88 = 102,133.88/x
  3. Step 3: Cross multiply
    49,902.75x = 102,133.88 × 102,133.88
  4. Step 4: Simplify right side
    49,902.75x = 10,431,328,422.52
  5. Step 5: Solve for x
    x = 10,431,328,422.52/49,902.75
  6. Step 6: Final answer
    x = 209,033.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.