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Finding the Third Proportional to 86,766 and 190,137

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Solution

The third proportional to 86,766 and 190,137 is: 416,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,766 : 190,137 = 190,137 : x
  2. Step 2: Convert to fraction form
    86,766/190,137 = 190,137/x
  3. Step 3: Cross multiply
    86,766x = 190,137 × 190,137
  4. Step 4: Simplify right side
    86,766x = 36,152,078,769
  5. Step 5: Solve for x
    x = 36,152,078,769/86,766
  6. Step 6: Final answer
    x = 416,661.81

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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.