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Finding the Third Proportional to 48,578 and 106,161

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Solution

The third proportional to 48,578 and 106,161 is: 232,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,578 : 106,161 = 106,161 : x
  2. Step 2: Convert to fraction form
    48,578/106,161 = 106,161/x
  3. Step 3: Cross multiply
    48,578x = 106,161 × 106,161
  4. Step 4: Simplify right side
    48,578x = 11,270,157,921
  5. Step 5: Solve for x
    x = 11,270,157,921/48,578
  6. Step 6: Final answer
    x = 232,001.27

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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.