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Finding the Third Proportional to 42,950.25 and 94,169.25

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Solution

The third proportional to 42,950.25 and 94,169.25 is: 206,467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,950.25 : 94,169.25 = 94,169.25 : x
  2. Step 2: Convert to fraction form
    42,950.25/94,169.25 = 94,169.25/x
  3. Step 3: Cross multiply
    42,950.25x = 94,169.25 × 94,169.25
  4. Step 4: Simplify right side
    42,950.25x = 8,867,847,645.56
  5. Step 5: Solve for x
    x = 8,867,847,645.56/42,950.25
  6. Step 6: Final answer
    x = 206,467.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.