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Finding the Third Proportional to 69,147 and 106,962

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Solution

The third proportional to 69,147 and 106,962 is: 165,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,147 : 106,962 = 106,962 : x
  2. Step 2: Convert to fraction form
    69,147/106,962 = 106,962/x
  3. Step 3: Cross multiply
    69,147x = 106,962 × 106,962
  4. Step 4: Simplify right side
    69,147x = 11,440,869,444
  5. Step 5: Solve for x
    x = 11,440,869,444/69,147
  6. Step 6: Final answer
    x = 165,457.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.