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Finding the Third Proportional to 68,226.75 and 105,256.13

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Solution

The third proportional to 68,226.75 and 105,256.13 is: 162,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,226.75 : 105,256.13 = 105,256.13 : x
  2. Step 2: Convert to fraction form
    68,226.75/105,256.13 = 105,256.13/x
  3. Step 3: Cross multiply
    68,226.75x = 105,256.13 × 105,256.13
  4. Step 4: Simplify right side
    68,226.75x = 11,078,851,850.02
  5. Step 5: Solve for x
    x = 11,078,851,850.02/68,226.75
  6. Step 6: Final answer
    x = 162,382.82

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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.