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Finding the Third Proportional to 68,718 and 149,185

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Solution

The third proportional to 68,718 and 149,185 is: 323,876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,718 : 149,185 = 149,185 : x
  2. Step 2: Convert to fraction form
    68,718/149,185 = 149,185/x
  3. Step 3: Cross multiply
    68,718x = 149,185 × 149,185
  4. Step 4: Simplify right side
    68,718x = 22,256,164,225
  5. Step 5: Solve for x
    x = 22,256,164,225/68,718
  6. Step 6: Final answer
    x = 323,876.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.