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Finding the Third Proportional to 75,891 and 113,745

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Solution

The third proportional to 75,891 and 113,745 is: 170,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,891 : 113,745 = 113,745 : x
  2. Step 2: Convert to fraction form
    75,891/113,745 = 113,745/x
  3. Step 3: Cross multiply
    75,891x = 113,745 × 113,745
  4. Step 4: Simplify right side
    75,891x = 12,937,925,025
  5. Step 5: Solve for x
    x = 12,937,925,025/75,891
  6. Step 6: Final answer
    x = 170,480.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.