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Finding the Third Proportional to 73,917 and 113,771

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Solution

The third proportional to 73,917 and 113,771 is: 175,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,917 : 113,771 = 113,771 : x
  2. Step 2: Convert to fraction form
    73,917/113,771 = 113,771/x
  3. Step 3: Cross multiply
    73,917x = 113,771 × 113,771
  4. Step 4: Simplify right side
    73,917x = 12,943,840,441
  5. Step 5: Solve for x
    x = 12,943,840,441/73,917
  6. Step 6: Final answer
    x = 175,113.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.