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Finding the Third Proportional to 100,562.25 and 149,103.75

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Solution

The third proportional to 100,562.25 and 149,103.75 is: 221,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,562.25 : 149,103.75 = 149,103.75 : x
  2. Step 2: Convert to fraction form
    100,562.25/149,103.75 = 149,103.75/x
  3. Step 3: Cross multiply
    100,562.25x = 149,103.75 × 149,103.75
  4. Step 4: Simplify right side
    100,562.25x = 22,231,928,264.06
  5. Step 5: Solve for x
    x = 22,231,928,264.06/100,562.25
  6. Step 6: Final answer
    x = 221,076.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.