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Finding the Third Proportional to 75,256 and 113,522

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Solution

The third proportional to 75,256 and 113,522 is: 171,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,256 : 113,522 = 113,522 : x
  2. Step 2: Convert to fraction form
    75,256/113,522 = 113,522/x
  3. Step 3: Cross multiply
    75,256x = 113,522 × 113,522
  4. Step 4: Simplify right side
    75,256x = 12,887,244,484
  5. Step 5: Solve for x
    x = 12,887,244,484/75,256
  6. Step 6: Final answer
    x = 171,245.41

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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.