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Finding the Third Proportional to 41,689.69 and 86,135.91

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Solution

The third proportional to 41,689.69 and 86,135.91 is: 177,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,689.69 : 86,135.91 = 86,135.91 : x
  2. Step 2: Convert to fraction form
    41,689.69/86,135.91 = 86,135.91/x
  3. Step 3: Cross multiply
    41,689.69x = 86,135.91 × 86,135.91
  4. Step 4: Simplify right side
    41,689.69x = 7,419,394,345.51
  5. Step 5: Solve for x
    x = 7,419,394,345.51/41,689.69
  6. Step 6: Final answer
    x = 177,967.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.