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Finding the Third Proportional to 112,756 and 247,832

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Solution

The third proportional to 112,756 and 247,832 is: 544,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,756 : 247,832 = 247,832 : x
  2. Step 2: Convert to fraction form
    112,756/247,832 = 247,832/x
  3. Step 3: Cross multiply
    112,756x = 247,832 × 247,832
  4. Step 4: Simplify right side
    112,756x = 61,420,700,224
  5. Step 5: Solve for x
    x = 61,420,700,224/112,756
  6. Step 6: Final answer
    x = 544,722.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.