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Finding the Third Proportional to 68,313.38 and 146,832.75

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Solution

The third proportional to 68,313.38 and 146,832.75 is: 315,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,313.38 : 146,832.75 = 146,832.75 : x
  2. Step 2: Convert to fraction form
    68,313.38/146,832.75 = 146,832.75/x
  3. Step 3: Cross multiply
    68,313.38x = 146,832.75 × 146,832.75
  4. Step 4: Simplify right side
    68,313.38x = 21,559,856,472.56
  5. Step 5: Solve for x
    x = 21,559,856,472.56/68,313.38
  6. Step 6: Final answer
    x = 315,602.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.