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Finding the Third Proportional to 81,716 and 128,404

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Solution

The third proportional to 81,716 and 128,404 is: 201,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,716 : 128,404 = 128,404 : x
  2. Step 2: Convert to fraction form
    81,716/128,404 = 128,404/x
  3. Step 3: Cross multiply
    81,716x = 128,404 × 128,404
  4. Step 4: Simplify right side
    81,716x = 16,487,587,216
  5. Step 5: Solve for x
    x = 16,487,587,216/81,716
  6. Step 6: Final answer
    x = 201,766.94

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.