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Finding the Third Proportional to 86,987 and 188,365

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Solution

The third proportional to 86,987 and 188,365 is: 407,892.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,987 : 188,365 = 188,365 : x
  2. Step 2: Convert to fraction form
    86,987/188,365 = 188,365/x
  3. Step 3: Cross multiply
    86,987x = 188,365 × 188,365
  4. Step 4: Simplify right side
    86,987x = 35,481,373,225
  5. Step 5: Solve for x
    x = 35,481,373,225/86,987
  6. Step 6: Final answer
    x = 407,892.83

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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.