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Finding the Third Proportional to 74,976 and 113,233

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Solution

The third proportional to 74,976 and 113,233 is: 171,010.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,976 : 113,233 = 113,233 : x
  2. Step 2: Convert to fraction form
    74,976/113,233 = 113,233/x
  3. Step 3: Cross multiply
    74,976x = 113,233 × 113,233
  4. Step 4: Simplify right side
    74,976x = 12,821,712,289
  5. Step 5: Solve for x
    x = 12,821,712,289/74,976
  6. Step 6: Final answer
    x = 171,010.89

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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.