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Finding the Third Proportional to 86,757 and 188,904

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Solution

The third proportional to 86,757 and 188,904 is: 411,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,757 : 188,904 = 188,904 : x
  2. Step 2: Convert to fraction form
    86,757/188,904 = 188,904/x
  3. Step 3: Cross multiply
    86,757x = 188,904 × 188,904
  4. Step 4: Simplify right side
    86,757x = 35,684,721,216
  5. Step 5: Solve for x
    x = 35,684,721,216/86,757
  6. Step 6: Final answer
    x = 411,318.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.