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Finding the Third Proportional to 40,848 and 85,818

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Solution

The third proportional to 40,848 and 85,818 is: 180,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,848 : 85,818 = 85,818 : x
  2. Step 2: Convert to fraction form
    40,848/85,818 = 85,818/x
  3. Step 3: Cross multiply
    40,848x = 85,818 × 85,818
  4. Step 4: Simplify right side
    40,848x = 7,364,729,124
  5. Step 5: Solve for x
    x = 7,364,729,124/40,848
  6. Step 6: Final answer
    x = 180,295.95

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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.