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Finding the Third Proportional to 71,166 and 103,077

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Solution

The third proportional to 71,166 and 103,077 is: 149,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,166 : 103,077 = 103,077 : x
  2. Step 2: Convert to fraction form
    71,166/103,077 = 103,077/x
  3. Step 3: Cross multiply
    71,166x = 103,077 × 103,077
  4. Step 4: Simplify right side
    71,166x = 10,624,867,929
  5. Step 5: Solve for x
    x = 10,624,867,929/71,166
  6. Step 6: Final answer
    x = 149,296.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.