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Finding the Third Proportional to 110,805.50 and 166,167

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Solution

The third proportional to 110,805.50 and 166,167 is: 249,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,805.50 : 166,167 = 166,167 : x
  2. Step 2: Convert to fraction form
    110,805.50/166,167 = 166,167/x
  3. Step 3: Cross multiply
    110,805.50x = 166,167 × 166,167
  4. Step 4: Simplify right side
    110,805.50x = 27,611,471,889
  5. Step 5: Solve for x
    x = 27,611,471,889/110,805.50
  6. Step 6: Final answer
    x = 249,188.64

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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.