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Finding the Third Proportional to 70,518 and 101,885

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Solution

The third proportional to 70,518 and 101,885 is: 147,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,518 : 101,885 = 101,885 : x
  2. Step 2: Convert to fraction form
    70,518/101,885 = 101,885/x
  3. Step 3: Cross multiply
    70,518x = 101,885 × 101,885
  4. Step 4: Simplify right side
    70,518x = 10,380,553,225
  5. Step 5: Solve for x
    x = 10,380,553,225/70,518
  6. Step 6: Final answer
    x = 147,204.31

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.