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Finding the Third Proportional to 49,098 and 104,604

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Solution

The third proportional to 49,098 and 104,604 is: 222,860.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,098 : 104,604 = 104,604 : x
  2. Step 2: Convert to fraction form
    49,098/104,604 = 104,604/x
  3. Step 3: Cross multiply
    49,098x = 104,604 × 104,604
  4. Step 4: Simplify right side
    49,098x = 10,941,996,816
  5. Step 5: Solve for x
    x = 10,941,996,816/49,098
  6. Step 6: Final answer
    x = 222,860.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.