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Finding the Third Proportional to 68,151 and 103,456

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Solution

The third proportional to 68,151 and 103,456 is: 157,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,151 : 103,456 = 103,456 : x
  2. Step 2: Convert to fraction form
    68,151/103,456 = 103,456/x
  3. Step 3: Cross multiply
    68,151x = 103,456 × 103,456
  4. Step 4: Simplify right side
    68,151x = 10,703,143,936
  5. Step 5: Solve for x
    x = 10,703,143,936/68,151
  6. Step 6: Final answer
    x = 157,050.43

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