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Finding the Third Proportional to 68,164 and 106,950

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Solution

The third proportional to 68,164 and 106,950 is: 167,805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,164 : 106,950 = 106,950 : x
  2. Step 2: Convert to fraction form
    68,164/106,950 = 106,950/x
  3. Step 3: Cross multiply
    68,164x = 106,950 × 106,950
  4. Step 4: Simplify right side
    68,164x = 11,438,302,500
  5. Step 5: Solve for x
    x = 11,438,302,500/68,164
  6. Step 6: Final answer
    x = 167,805.62

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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.