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Finding the Third Proportional to 41,319 and 84,815

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Solution

The third proportional to 41,319 and 84,815 is: 174,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,319 : 84,815 = 84,815 : x
  2. Step 2: Convert to fraction form
    41,319/84,815 = 84,815/x
  3. Step 3: Cross multiply
    41,319x = 84,815 × 84,815
  4. Step 4: Simplify right side
    41,319x = 7,193,584,225
  5. Step 5: Solve for x
    x = 7,193,584,225/41,319
  6. Step 6: Final answer
    x = 174,098.70

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.