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Finding the Third Proportional to 113,626 and 177,856

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Solution

The third proportional to 113,626 and 177,856 is: 278,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,626 : 177,856 = 177,856 : x
  2. Step 2: Convert to fraction form
    113,626/177,856 = 177,856/x
  3. Step 3: Cross multiply
    113,626x = 177,856 × 177,856
  4. Step 4: Simplify right side
    113,626x = 31,632,756,736
  5. Step 5: Solve for x
    x = 31,632,756,736/113,626
  6. Step 6: Final answer
    x = 278,393.65

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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.