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Finding the Third Proportional to 59,186 and 83,249

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Solution

The third proportional to 59,186 and 83,249 is: 117,095.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,186 : 83,249 = 83,249 : x
  2. Step 2: Convert to fraction form
    59,186/83,249 = 83,249/x
  3. Step 3: Cross multiply
    59,186x = 83,249 × 83,249
  4. Step 4: Simplify right side
    59,186x = 6,930,396,001
  5. Step 5: Solve for x
    x = 6,930,396,001/59,186
  6. Step 6: Final answer
    x = 117,095.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.