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Finding the Third Proportional to 68,018 and 146,965

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Solution

The third proportional to 68,018 and 146,965 is: 317,544.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,018 : 146,965 = 146,965 : x
  2. Step 2: Convert to fraction form
    68,018/146,965 = 146,965/x
  3. Step 3: Cross multiply
    68,018x = 146,965 × 146,965
  4. Step 4: Simplify right side
    68,018x = 21,598,711,225
  5. Step 5: Solve for x
    x = 21,598,711,225/68,018
  6. Step 6: Final answer
    x = 317,544.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.