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Finding the Third Proportional to 68,967 and 105,456.38

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Solution

The third proportional to 68,967 and 105,456.38 is: 161,251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,967 : 105,456.38 = 105,456.38 : x
  2. Step 2: Convert to fraction form
    68,967/105,456.38 = 105,456.38/x
  3. Step 3: Cross multiply
    68,967x = 105,456.38 × 105,456.38
  4. Step 4: Simplify right side
    68,967x = 11,121,047,028.14
  5. Step 5: Solve for x
    x = 11,121,047,028.14/68,967
  6. Step 6: Final answer
    x = 161,251.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.