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Finding the Third Proportional to 39,178 and 86,132

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Solution

The third proportional to 39,178 and 86,132 is: 189,359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,178 : 86,132 = 86,132 : x
  2. Step 2: Convert to fraction form
    39,178/86,132 = 86,132/x
  3. Step 3: Cross multiply
    39,178x = 86,132 × 86,132
  4. Step 4: Simplify right side
    39,178x = 7,418,721,424
  5. Step 5: Solve for x
    x = 7,418,721,424/39,178
  6. Step 6: Final answer
    x = 189,359.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.