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Finding the Third Proportional to 68,227.50 and 103,718.25

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Solution

The third proportional to 68,227.50 and 103,718.25 is: 157,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,227.50 : 103,718.25 = 103,718.25 : x
  2. Step 2: Convert to fraction form
    68,227.50/103,718.25 = 103,718.25/x
  3. Step 3: Cross multiply
    68,227.50x = 103,718.25 × 103,718.25
  4. Step 4: Simplify right side
    68,227.50x = 10,757,475,383.06
  5. Step 5: Solve for x
    x = 10,757,475,383.06/68,227.50
  6. Step 6: Final answer
    x = 157,670.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.