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Finding the Third Proportional to 83,223 and 121,720

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Solution

The third proportional to 83,223 and 121,720 is: 178,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,223 : 121,720 = 121,720 : x
  2. Step 2: Convert to fraction form
    83,223/121,720 = 121,720/x
  3. Step 3: Cross multiply
    83,223x = 121,720 × 121,720
  4. Step 4: Simplify right side
    83,223x = 14,815,758,400
  5. Step 5: Solve for x
    x = 14,815,758,400/83,223
  6. Step 6: Final answer
    x = 178,024.81

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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.