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Finding the Third Proportional to 81,897.75 and 170,802

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Solution

The third proportional to 81,897.75 and 170,802 is: 356,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,897.75 : 170,802 = 170,802 : x
  2. Step 2: Convert to fraction form
    81,897.75/170,802 = 170,802/x
  3. Step 3: Cross multiply
    81,897.75x = 170,802 × 170,802
  4. Step 4: Simplify right side
    81,897.75x = 29,173,323,204
  5. Step 5: Solve for x
    x = 29,173,323,204/81,897.75
  6. Step 6: Final answer
    x = 356,216.42

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.