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Finding the Third Proportional to 110,472.75 and 165,525.75

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Solution

The third proportional to 110,472.75 and 165,525.75 is: 248,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,472.75 : 165,525.75 = 165,525.75 : x
  2. Step 2: Convert to fraction form
    110,472.75/165,525.75 = 165,525.75/x
  3. Step 3: Cross multiply
    110,472.75x = 165,525.75 × 165,525.75
  4. Step 4: Simplify right side
    110,472.75x = 27,398,773,913.06
  5. Step 5: Solve for x
    x = 27,398,773,913.06/110,472.75
  6. Step 6: Final answer
    x = 248,013.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.