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Finding the Third Proportional to 83,820 and 121,218

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Solution

The third proportional to 83,820 and 121,218 is: 175,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,820 : 121,218 = 121,218 : x
  2. Step 2: Convert to fraction form
    83,820/121,218 = 121,218/x
  3. Step 3: Cross multiply
    83,820x = 121,218 × 121,218
  4. Step 4: Simplify right side
    83,820x = 14,693,803,524
  5. Step 5: Solve for x
    x = 14,693,803,524/83,820
  6. Step 6: Final answer
    x = 175,301.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.