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Finding the Third Proportional to 113,974 and 176,934

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Solution

The third proportional to 113,974 and 176,934 is: 274,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,974 : 176,934 = 176,934 : x
  2. Step 2: Convert to fraction form
    113,974/176,934 = 176,934/x
  3. Step 3: Cross multiply
    113,974x = 176,934 × 176,934
  4. Step 4: Simplify right side
    113,974x = 31,305,640,356
  5. Step 5: Solve for x
    x = 31,305,640,356/113,974
  6. Step 6: Final answer
    x = 274,673.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.