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Finding the Third Proportional to 49,598 and 101,836

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Solution

The third proportional to 49,598 and 101,836 is: 209,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,598 : 101,836 = 101,836 : x
  2. Step 2: Convert to fraction form
    49,598/101,836 = 101,836/x
  3. Step 3: Cross multiply
    49,598x = 101,836 × 101,836
  4. Step 4: Simplify right side
    49,598x = 10,370,570,896
  5. Step 5: Solve for x
    x = 10,370,570,896/49,598
  6. Step 6: Final answer
    x = 209,092.52

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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.