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Finding the Third Proportional to 81,696.94 and 170,876.25

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Solution

The third proportional to 81,696.94 and 170,876.25 is: 357,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,696.94 : 170,876.25 = 170,876.25 : x
  2. Step 2: Convert to fraction form
    81,696.94/170,876.25 = 170,876.25/x
  3. Step 3: Cross multiply
    81,696.94x = 170,876.25 × 170,876.25
  4. Step 4: Simplify right side
    81,696.94x = 29,198,692,814.06
  5. Step 5: Solve for x
    x = 29,198,692,814.06/81,696.94
  6. Step 6: Final answer
    x = 357,402.54

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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.