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Finding the Third Proportional to 68,882.25 and 105,299.25

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Solution

The third proportional to 68,882.25 and 105,299.25 is: 160,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,882.25 : 105,299.25 = 105,299.25 : x
  2. Step 2: Convert to fraction form
    68,882.25/105,299.25 = 105,299.25/x
  3. Step 3: Cross multiply
    68,882.25x = 105,299.25 × 105,299.25
  4. Step 4: Simplify right side
    68,882.25x = 11,087,932,050.56
  5. Step 5: Solve for x
    x = 11,087,932,050.56/68,882.25
  6. Step 6: Final answer
    x = 160,969.37

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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.