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Finding the Third Proportional to 67,647.75 and 107,112.75

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Solution

The third proportional to 67,647.75 and 107,112.75 is: 169,601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,647.75 : 107,112.75 = 107,112.75 : x
  2. Step 2: Convert to fraction form
    67,647.75/107,112.75 = 107,112.75/x
  3. Step 3: Cross multiply
    67,647.75x = 107,112.75 × 107,112.75
  4. Step 4: Simplify right side
    67,647.75x = 11,473,141,212.56
  5. Step 5: Solve for x
    x = 11,473,141,212.56/67,647.75
  6. Step 6: Final answer
    x = 169,601.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.