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Finding the Third Proportional to 78,874 and 122,199

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Solution

The third proportional to 78,874 and 122,199 is: 189,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,874 : 122,199 = 122,199 : x
  2. Step 2: Convert to fraction form
    78,874/122,199 = 122,199/x
  3. Step 3: Cross multiply
    78,874x = 122,199 × 122,199
  4. Step 4: Simplify right side
    78,874x = 14,932,595,601
  5. Step 5: Solve for x
    x = 14,932,595,601/78,874
  6. Step 6: Final answer
    x = 189,322.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.