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Finding the Third Proportional to 70,911 and 109,782

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Solution

The third proportional to 70,911 and 109,782 is: 169,960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,911 : 109,782 = 109,782 : x
  2. Step 2: Convert to fraction form
    70,911/109,782 = 109,782/x
  3. Step 3: Cross multiply
    70,911x = 109,782 × 109,782
  4. Step 4: Simplify right side
    70,911x = 12,052,087,524
  5. Step 5: Solve for x
    x = 12,052,087,524/70,911
  6. Step 6: Final answer
    x = 169,960.76

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