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Finding the Third Proportional to 48,869 and 107,089

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Solution

The third proportional to 48,869 and 107,089 is: 234,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,869 : 107,089 = 107,089 : x
  2. Step 2: Convert to fraction form
    48,869/107,089 = 107,089/x
  3. Step 3: Cross multiply
    48,869x = 107,089 × 107,089
  4. Step 4: Simplify right side
    48,869x = 11,468,053,921
  5. Step 5: Solve for x
    x = 11,468,053,921/48,869
  6. Step 6: Final answer
    x = 234,669.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.