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Finding the Third Proportional to 110,691 and 166,146

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Solution

The third proportional to 110,691 and 166,146 is: 249,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,691 : 166,146 = 166,146 : x
  2. Step 2: Convert to fraction form
    110,691/166,146 = 166,146/x
  3. Step 3: Cross multiply
    110,691x = 166,146 × 166,146
  4. Step 4: Simplify right side
    110,691x = 27,604,493,316
  5. Step 5: Solve for x
    x = 27,604,493,316/110,691
  6. Step 6: Final answer
    x = 249,383.36

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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.