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Finding the Third Proportional to 86,632 and 188,060

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Solution

The third proportional to 86,632 and 188,060 is: 408,239.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,632 : 188,060 = 188,060 : x
  2. Step 2: Convert to fraction form
    86,632/188,060 = 188,060/x
  3. Step 3: Cross multiply
    86,632x = 188,060 × 188,060
  4. Step 4: Simplify right side
    86,632x = 35,366,563,600
  5. Step 5: Solve for x
    x = 35,366,563,600/86,632
  6. Step 6: Final answer
    x = 408,239.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.