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Finding the Third Proportional to 59,703 and 83,682

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Solution

The third proportional to 59,703 and 83,682 is: 117,291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,703 : 83,682 = 83,682 : x
  2. Step 2: Convert to fraction form
    59,703/83,682 = 83,682/x
  3. Step 3: Cross multiply
    59,703x = 83,682 × 83,682
  4. Step 4: Simplify right side
    59,703x = 7,002,677,124
  5. Step 5: Solve for x
    x = 7,002,677,124/59,703
  6. Step 6: Final answer
    x = 117,291.88

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.