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Finding the Third Proportional to 105,067.50 and 224,895

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Solution

The third proportional to 105,067.50 and 224,895 is: 481,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,067.50 : 224,895 = 224,895 : x
  2. Step 2: Convert to fraction form
    105,067.50/224,895 = 224,895/x
  3. Step 3: Cross multiply
    105,067.50x = 224,895 × 224,895
  4. Step 4: Simplify right side
    105,067.50x = 50,577,761,025
  5. Step 5: Solve for x
    x = 50,577,761,025/105,067.50
  6. Step 6: Final answer
    x = 481,383.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.