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Finding the Third Proportional to 84,086 and 122,892

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Solution

The third proportional to 84,086 and 122,892 is: 179,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,086 : 122,892 = 122,892 : x
  2. Step 2: Convert to fraction form
    84,086/122,892 = 122,892/x
  3. Step 3: Cross multiply
    84,086x = 122,892 × 122,892
  4. Step 4: Simplify right side
    84,086x = 15,102,443,664
  5. Step 5: Solve for x
    x = 15,102,443,664/84,086
  6. Step 6: Final answer
    x = 179,607.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.