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Finding the Third Proportional to 65,018 and 100,227

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Solution

The third proportional to 65,018 and 100,227 is: 154,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,018 : 100,227 = 100,227 : x
  2. Step 2: Convert to fraction form
    65,018/100,227 = 100,227/x
  3. Step 3: Cross multiply
    65,018x = 100,227 × 100,227
  4. Step 4: Simplify right side
    65,018x = 10,045,451,529
  5. Step 5: Solve for x
    x = 10,045,451,529/65,018
  6. Step 6: Final answer
    x = 154,502.62

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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.