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Finding the Third Proportional to 86,057 and 186,411

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Solution

The third proportional to 86,057 and 186,411 is: 403,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,057 : 186,411 = 186,411 : x
  2. Step 2: Convert to fraction form
    86,057/186,411 = 186,411/x
  3. Step 3: Cross multiply
    86,057x = 186,411 × 186,411
  4. Step 4: Simplify right side
    86,057x = 34,749,060,921
  5. Step 5: Solve for x
    x = 34,749,060,921/86,057
  6. Step 6: Final answer
    x = 403,791.22

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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.