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Finding the Third Proportional to 75,445.13 and 113,937

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Solution

The third proportional to 75,445.13 and 113,937 is: 172,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,445.13 : 113,937 = 113,937 : x
  2. Step 2: Convert to fraction form
    75,445.13/113,937 = 113,937/x
  3. Step 3: Cross multiply
    75,445.13x = 113,937 × 113,937
  4. Step 4: Simplify right side
    75,445.13x = 12,981,639,969
  5. Step 5: Solve for x
    x = 12,981,639,969/75,445.13
  6. Step 6: Final answer
    x = 172,067.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.