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Finding the Third Proportional to 110,727 and 166,191.75

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Solution

The third proportional to 110,727 and 166,191.75 is: 249,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,727 : 166,191.75 = 166,191.75 : x
  2. Step 2: Convert to fraction form
    110,727/166,191.75 = 166,191.75/x
  3. Step 3: Cross multiply
    110,727x = 166,191.75 × 166,191.75
  4. Step 4: Simplify right side
    110,727x = 27,619,697,768.06
  5. Step 5: Solve for x
    x = 27,619,697,768.06/110,727
  6. Step 6: Final answer
    x = 249,439.59

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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.