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Finding the Third Proportional to 81,872 and 122,302

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Solution

The third proportional to 81,872 and 122,302 is: 182,697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,872 : 122,302 = 122,302 : x
  2. Step 2: Convert to fraction form
    81,872/122,302 = 122,302/x
  3. Step 3: Cross multiply
    81,872x = 122,302 × 122,302
  4. Step 4: Simplify right side
    81,872x = 14,957,779,204
  5. Step 5: Solve for x
    x = 14,957,779,204/81,872
  6. Step 6: Final answer
    x = 182,697.13

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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.