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Finding the Third Proportional to 51,654.50 and 79,817

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Solution

The third proportional to 51,654.50 and 79,817 is: 123,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,654.50 : 79,817 = 79,817 : x
  2. Step 2: Convert to fraction form
    51,654.50/79,817 = 79,817/x
  3. Step 3: Cross multiply
    51,654.50x = 79,817 × 79,817
  4. Step 4: Simplify right side
    51,654.50x = 6,370,753,489
  5. Step 5: Solve for x
    x = 6,370,753,489/51,654.50
  6. Step 6: Final answer
    x = 123,333.95

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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.