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Finding the Third Proportional to 39,109.50 and 83,067

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Solution

The third proportional to 39,109.50 and 83,067 is: 176,430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,109.50 : 83,067 = 83,067 : x
  2. Step 2: Convert to fraction form
    39,109.50/83,067 = 83,067/x
  3. Step 3: Cross multiply
    39,109.50x = 83,067 × 83,067
  4. Step 4: Simplify right side
    39,109.50x = 6,900,126,489
  5. Step 5: Solve for x
    x = 6,900,126,489/39,109.50
  6. Step 6: Final answer
    x = 176,430.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.