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Finding the Third Proportional to 68,022.28 and 107,250.33

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Solution

The third proportional to 68,022.28 and 107,250.33 is: 169,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,022.28 : 107,250.33 = 107,250.33 : x
  2. Step 2: Convert to fraction form
    68,022.28/107,250.33 = 107,250.33/x
  3. Step 3: Cross multiply
    68,022.28x = 107,250.33 × 107,250.33
  4. Step 4: Simplify right side
    68,022.28x = 11,502,632,882.92
  5. Step 5: Solve for x
    x = 11,502,632,882.92/68,022.28
  6. Step 6: Final answer
    x = 169,100.96

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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.