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Finding the Third Proportional to 110,822 and 166,190

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Solution

The third proportional to 110,822 and 166,190 is: 249,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,822 : 166,190 = 166,190 : x
  2. Step 2: Convert to fraction form
    110,822/166,190 = 166,190/x
  3. Step 3: Cross multiply
    110,822x = 166,190 × 166,190
  4. Step 4: Simplify right side
    110,822x = 27,619,116,100
  5. Step 5: Solve for x
    x = 27,619,116,100/110,822
  6. Step 6: Final answer
    x = 249,220.52

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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.