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Finding the Third Proportional to 78,846 and 119,085

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Solution

The third proportional to 78,846 and 119,085 is: 179,859.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,846 : 119,085 = 119,085 : x
  2. Step 2: Convert to fraction form
    78,846/119,085 = 119,085/x
  3. Step 3: Cross multiply
    78,846x = 119,085 × 119,085
  4. Step 4: Simplify right side
    78,846x = 14,181,237,225
  5. Step 5: Solve for x
    x = 14,181,237,225/78,846
  6. Step 6: Final answer
    x = 179,859.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.