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Finding the Third Proportional to 55,890 and 84,223

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Solution

The third proportional to 55,890 and 84,223 is: 126,919.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,890 : 84,223 = 84,223 : x
  2. Step 2: Convert to fraction form
    55,890/84,223 = 84,223/x
  3. Step 3: Cross multiply
    55,890x = 84,223 × 84,223
  4. Step 4: Simplify right side
    55,890x = 7,093,513,729
  5. Step 5: Solve for x
    x = 7,093,513,729/55,890
  6. Step 6: Final answer
    x = 126,919.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.