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Finding the Third Proportional to 68,224.50 and 105,252.75

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Solution

The third proportional to 68,224.50 and 105,252.75 is: 162,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,224.50 : 105,252.75 = 105,252.75 : x
  2. Step 2: Convert to fraction form
    68,224.50/105,252.75 = 105,252.75/x
  3. Step 3: Cross multiply
    68,224.50x = 105,252.75 × 105,252.75
  4. Step 4: Simplify right side
    68,224.50x = 11,078,141,382.56
  5. Step 5: Solve for x
    x = 11,078,141,382.56/68,224.50
  6. Step 6: Final answer
    x = 162,377.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.