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Finding the Third Proportional to 70,682 and 109,302

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Solution

The third proportional to 70,682 and 109,302 is: 169,023.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,682 : 109,302 = 109,302 : x
  2. Step 2: Convert to fraction form
    70,682/109,302 = 109,302/x
  3. Step 3: Cross multiply
    70,682x = 109,302 × 109,302
  4. Step 4: Simplify right side
    70,682x = 11,946,927,204
  5. Step 5: Solve for x
    x = 11,946,927,204/70,682
  6. Step 6: Final answer
    x = 169,023.62

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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.