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Finding the Third Proportional to 70,966 and 106,745

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Solution

The third proportional to 70,966 and 106,745 is: 160,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,966 : 106,745 = 106,745 : x
  2. Step 2: Convert to fraction form
    70,966/106,745 = 106,745/x
  3. Step 3: Cross multiply
    70,966x = 106,745 × 106,745
  4. Step 4: Simplify right side
    70,966x = 11,394,495,025
  5. Step 5: Solve for x
    x = 11,394,495,025/70,966
  6. Step 6: Final answer
    x = 160,562.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.