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Finding the Third Proportional to 48,969 and 100,836

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Solution

The third proportional to 48,969 and 100,836 is: 207,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,969 : 100,836 = 100,836 : x
  2. Step 2: Convert to fraction form
    48,969/100,836 = 100,836/x
  3. Step 3: Cross multiply
    48,969x = 100,836 × 100,836
  4. Step 4: Simplify right side
    48,969x = 10,167,898,896
  5. Step 5: Solve for x
    x = 10,167,898,896/48,969
  6. Step 6: Final answer
    x = 207,639.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.