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Finding the Third Proportional to 70,567 and 109,306

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Solution

The third proportional to 70,567 and 109,306 is: 169,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,567 : 109,306 = 109,306 : x
  2. Step 2: Convert to fraction form
    70,567/109,306 = 109,306/x
  3. Step 3: Cross multiply
    70,567x = 109,306 × 109,306
  4. Step 4: Simplify right side
    70,567x = 11,947,801,636
  5. Step 5: Solve for x
    x = 11,947,801,636/70,567
  6. Step 6: Final answer
    x = 169,311.46

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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.