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Finding the Third Proportional to 84,771 and 124,116

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Solution

The third proportional to 84,771 and 124,116 is: 181,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,771 : 124,116 = 124,116 : x
  2. Step 2: Convert to fraction form
    84,771/124,116 = 124,116/x
  3. Step 3: Cross multiply
    84,771x = 124,116 × 124,116
  4. Step 4: Simplify right side
    84,771x = 15,404,781,456
  5. Step 5: Solve for x
    x = 15,404,781,456/84,771
  6. Step 6: Final answer
    x = 181,722.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.