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Finding the Third Proportional to 86,040 and 188,703

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Solution

The third proportional to 86,040 and 188,703 is: 413,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,040 : 188,703 = 188,703 : x
  2. Step 2: Convert to fraction form
    86,040/188,703 = 188,703/x
  3. Step 3: Cross multiply
    86,040x = 188,703 × 188,703
  4. Step 4: Simplify right side
    86,040x = 35,608,822,209
  5. Step 5: Solve for x
    x = 35,608,822,209/86,040
  6. Step 6: Final answer
    x = 413,863.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.