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Finding the Third Proportional to 126,022.50 and 199,645.50

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Solution

The third proportional to 126,022.50 and 199,645.50 is: 316,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,022.50 : 199,645.50 = 199,645.50 : x
  2. Step 2: Convert to fraction form
    126,022.50/199,645.50 = 199,645.50/x
  3. Step 3: Cross multiply
    126,022.50x = 199,645.50 × 199,645.50
  4. Step 4: Simplify right side
    126,022.50x = 39,858,325,670.25
  5. Step 5: Solve for x
    x = 39,858,325,670.25/126,022.50
  6. Step 6: Final answer
    x = 316,279.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.