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Finding the Third Proportional to 110,664 and 166,106

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Solution

The third proportional to 110,664 and 166,106 is: 249,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,664 : 166,106 = 166,106 : x
  2. Step 2: Convert to fraction form
    110,664/166,106 = 166,106/x
  3. Step 3: Cross multiply
    110,664x = 166,106 × 166,106
  4. Step 4: Simplify right side
    110,664x = 27,591,203,236
  5. Step 5: Solve for x
    x = 27,591,203,236/110,664
  6. Step 6: Final answer
    x = 249,324.11

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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.