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Finding the Third Proportional to 74,264 and 111,751

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Solution

The third proportional to 74,264 and 111,751 is: 168,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,264 : 111,751 = 111,751 : x
  2. Step 2: Convert to fraction form
    74,264/111,751 = 111,751/x
  3. Step 3: Cross multiply
    74,264x = 111,751 × 111,751
  4. Step 4: Simplify right side
    74,264x = 12,488,286,001
  5. Step 5: Solve for x
    x = 12,488,286,001/74,264
  6. Step 6: Final answer
    x = 168,160.70

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