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Finding the Third Proportional to 113,620 and 177,846

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Solution

The third proportional to 113,620 and 177,846 is: 278,377.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,620 : 177,846 = 177,846 : x
  2. Step 2: Convert to fraction form
    113,620/177,846 = 177,846/x
  3. Step 3: Cross multiply
    113,620x = 177,846 × 177,846
  4. Step 4: Simplify right side
    113,620x = 31,629,199,716
  5. Step 5: Solve for x
    x = 31,629,199,716/113,620
  6. Step 6: Final answer
    x = 278,377.04

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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.