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Finding the Third Proportional to 78,864 and 122,184

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Solution

The third proportional to 78,864 and 122,184 is: 189,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,864 : 122,184 = 122,184 : x
  2. Step 2: Convert to fraction form
    78,864/122,184 = 122,184/x
  3. Step 3: Cross multiply
    78,864x = 122,184 × 122,184
  4. Step 4: Simplify right side
    78,864x = 14,928,929,856
  5. Step 5: Solve for x
    x = 14,928,929,856/78,864
  6. Step 6: Final answer
    x = 189,299.68

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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.