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Finding the Third Proportional to 110,473.88 and 165,665.25

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Solution

The third proportional to 110,473.88 and 165,665.25 is: 248,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,473.88 : 165,665.25 = 165,665.25 : x
  2. Step 2: Convert to fraction form
    110,473.88/165,665.25 = 165,665.25/x
  3. Step 3: Cross multiply
    110,473.88x = 165,665.25 × 165,665.25
  4. Step 4: Simplify right side
    110,473.88x = 27,444,975,057.56
  5. Step 5: Solve for x
    x = 27,444,975,057.56/110,473.88
  6. Step 6: Final answer
    x = 248,429.55

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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.