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Finding the Third Proportional to 37,701 and 102,555

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Solution

The third proportional to 37,701 and 102,555 is: 278,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,701 : 102,555 = 102,555 : x
  2. Step 2: Convert to fraction form
    37,701/102,555 = 102,555/x
  3. Step 3: Cross multiply
    37,701x = 102,555 × 102,555
  4. Step 4: Simplify right side
    37,701x = 10,517,528,025
  5. Step 5: Solve for x
    x = 10,517,528,025/37,701
  6. Step 6: Final answer
    x = 278,972.12

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.