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Finding the Third Proportional to 81,702 and 170,888

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Solution

The third proportional to 81,702 and 170,888 is: 357,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,702 : 170,888 = 170,888 : x
  2. Step 2: Convert to fraction form
    81,702/170,888 = 170,888/x
  3. Step 3: Cross multiply
    81,702x = 170,888 × 170,888
  4. Step 4: Simplify right side
    81,702x = 29,202,708,544
  5. Step 5: Solve for x
    x = 29,202,708,544/81,702
  6. Step 6: Final answer
    x = 357,429.54

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Why These Related Problems?

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