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Finding the Third Proportional to 70,882 and 109,673

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Solution

The third proportional to 70,882 and 109,673 is: 169,692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,882 : 109,673 = 109,673 : x
  2. Step 2: Convert to fraction form
    70,882/109,673 = 109,673/x
  3. Step 3: Cross multiply
    70,882x = 109,673 × 109,673
  4. Step 4: Simplify right side
    70,882x = 12,028,166,929
  5. Step 5: Solve for x
    x = 12,028,166,929/70,882
  6. Step 6: Final answer
    x = 169,692.83

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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.