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Finding the Third Proportional to 84,221.30 and 126,201.94

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Solution

The third proportional to 84,221.30 and 126,201.94 is: 189,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,221.30 : 126,201.94 = 126,201.94 : x
  2. Step 2: Convert to fraction form
    84,221.30/126,201.94 = 126,201.94/x
  3. Step 3: Cross multiply
    84,221.30x = 126,201.94 × 126,201.94
  4. Step 4: Simplify right side
    84,221.30x = 15,926,929,028.75
  5. Step 5: Solve for x
    x = 15,926,929,028.75/84,221.30
  6. Step 6: Final answer
    x = 189,108.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.