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Finding the Third Proportional to 83,473 and 122,839

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Solution

The third proportional to 83,473 and 122,839 is: 180,770.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,473 : 122,839 = 122,839 : x
  2. Step 2: Convert to fraction form
    83,473/122,839 = 122,839/x
  3. Step 3: Cross multiply
    83,473x = 122,839 × 122,839
  4. Step 4: Simplify right side
    83,473x = 15,089,419,921
  5. Step 5: Solve for x
    x = 15,089,419,921/83,473
  6. Step 6: Final answer
    x = 180,770.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.