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Finding the Third Proportional to 82,826 and 117,087

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Solution

The third proportional to 82,826 and 117,087 is: 165,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,826 : 117,087 = 117,087 : x
  2. Step 2: Convert to fraction form
    82,826/117,087 = 117,087/x
  3. Step 3: Cross multiply
    82,826x = 117,087 × 117,087
  4. Step 4: Simplify right side
    82,826x = 13,709,365,569
  5. Step 5: Solve for x
    x = 13,709,365,569/82,826
  6. Step 6: Final answer
    x = 165,520.07

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.