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Finding the Third Proportional to 94,385.25 and 138,894.75

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Solution

The third proportional to 94,385.25 and 138,894.75 is: 204,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,385.25 : 138,894.75 = 138,894.75 : x
  2. Step 2: Convert to fraction form
    94,385.25/138,894.75 = 138,894.75/x
  3. Step 3: Cross multiply
    94,385.25x = 138,894.75 × 138,894.75
  4. Step 4: Simplify right side
    94,385.25x = 19,291,751,577.56
  5. Step 5: Solve for x
    x = 19,291,751,577.56/94,385.25
  6. Step 6: Final answer
    x = 204,393.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.