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Finding the Third Proportional to 49,318 and 76,279

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Solution

The third proportional to 49,318 and 76,279 is: 117,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,318 : 76,279 = 76,279 : x
  2. Step 2: Convert to fraction form
    49,318/76,279 = 76,279/x
  3. Step 3: Cross multiply
    49,318x = 76,279 × 76,279
  4. Step 4: Simplify right side
    49,318x = 5,818,485,841
  5. Step 5: Solve for x
    x = 5,818,485,841/49,318
  6. Step 6: Final answer
    x = 117,978.95

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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.