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Finding the Third Proportional to 83,669 and 124,063

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Solution

The third proportional to 83,669 and 124,063 is: 183,958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,669 : 124,063 = 124,063 : x
  2. Step 2: Convert to fraction form
    83,669/124,063 = 124,063/x
  3. Step 3: Cross multiply
    83,669x = 124,063 × 124,063
  4. Step 4: Simplify right side
    83,669x = 15,391,627,969
  5. Step 5: Solve for x
    x = 15,391,627,969/83,669
  6. Step 6: Final answer
    x = 183,958.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.