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Finding the Third Proportional to 67,623 and 106,077

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Solution

The third proportional to 67,623 and 106,077 is: 166,397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,623 : 106,077 = 106,077 : x
  2. Step 2: Convert to fraction form
    67,623/106,077 = 106,077/x
  3. Step 3: Cross multiply
    67,623x = 106,077 × 106,077
  4. Step 4: Simplify right side
    67,623x = 11,252,329,929
  5. Step 5: Solve for x
    x = 11,252,329,929/67,623
  6. Step 6: Final answer
    x = 166,397.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.