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Finding the Third Proportional to 86,087 and 186,471

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Solution

The third proportional to 86,087 and 186,471 is: 403,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,087 : 186,471 = 186,471 : x
  2. Step 2: Convert to fraction form
    86,087/186,471 = 186,471/x
  3. Step 3: Cross multiply
    86,087x = 186,471 × 186,471
  4. Step 4: Simplify right side
    86,087x = 34,771,433,841
  5. Step 5: Solve for x
    x = 34,771,433,841/86,087
  6. Step 6: Final answer
    x = 403,910.39

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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.