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Finding the Third Proportional to 37,706 and 79,284

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Solution

The third proportional to 37,706 and 79,284 is: 166,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,706 : 79,284 = 79,284 : x
  2. Step 2: Convert to fraction form
    37,706/79,284 = 79,284/x
  3. Step 3: Cross multiply
    37,706x = 79,284 × 79,284
  4. Step 4: Simplify right side
    37,706x = 6,285,952,656
  5. Step 5: Solve for x
    x = 6,285,952,656/37,706
  6. Step 6: Final answer
    x = 166,709.61

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.