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Finding the Third Proportional to 113,622 and 177,849

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Solution

The third proportional to 113,622 and 177,849 is: 278,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,622 : 177,849 = 177,849 : x
  2. Step 2: Convert to fraction form
    113,622/177,849 = 177,849/x
  3. Step 3: Cross multiply
    113,622x = 177,849 × 177,849
  4. Step 4: Simplify right side
    113,622x = 31,630,266,801
  5. Step 5: Solve for x
    x = 31,630,266,801/113,622
  6. Step 6: Final answer
    x = 278,381.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.