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Finding the Third Proportional to 110,677 and 166,097

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Solution

The third proportional to 110,677 and 166,097 is: 249,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,677 : 166,097 = 166,097 : x
  2. Step 2: Convert to fraction form
    110,677/166,097 = 166,097/x
  3. Step 3: Cross multiply
    110,677x = 166,097 × 166,097
  4. Step 4: Simplify right side
    110,677x = 27,588,213,409
  5. Step 5: Solve for x
    x = 27,588,213,409/110,677
  6. Step 6: Final answer
    x = 249,267.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.