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Finding the Third Proportional to 113,118.75 and 223,382.25

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Solution

The third proportional to 113,118.75 and 223,382.25 is: 441,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,118.75 : 223,382.25 = 223,382.25 : x
  2. Step 2: Convert to fraction form
    113,118.75/223,382.25 = 223,382.25/x
  3. Step 3: Cross multiply
    113,118.75x = 223,382.25 × 223,382.25
  4. Step 4: Simplify right side
    113,118.75x = 49,899,629,615.06
  5. Step 5: Solve for x
    x = 49,899,629,615.06/113,118.75
  6. Step 6: Final answer
    x = 441,126.07

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.