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Finding the Third Proportional to 105,987 and 224,244

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Solution

The third proportional to 105,987 and 224,244 is: 474,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,987 : 224,244 = 224,244 : x
  2. Step 2: Convert to fraction form
    105,987/224,244 = 224,244/x
  3. Step 3: Cross multiply
    105,987x = 224,244 × 224,244
  4. Step 4: Simplify right side
    105,987x = 50,285,371,536
  5. Step 5: Solve for x
    x = 50,285,371,536/105,987
  6. Step 6: Final answer
    x = 474,448.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.