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Finding the Third Proportional to 81,876 and 122,308

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Solution

The third proportional to 81,876 and 122,308 is: 182,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,876 : 122,308 = 122,308 : x
  2. Step 2: Convert to fraction form
    81,876/122,308 = 122,308/x
  3. Step 3: Cross multiply
    81,876x = 122,308 × 122,308
  4. Step 4: Simplify right side
    81,876x = 14,959,246,864
  5. Step 5: Solve for x
    x = 14,959,246,864/81,876
  6. Step 6: Final answer
    x = 182,706.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.