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Finding the Third Proportional to 61,186 and 86,167

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Solution

The third proportional to 61,186 and 86,167 is: 121,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,186 : 86,167 = 86,167 : x
  2. Step 2: Convert to fraction form
    61,186/86,167 = 86,167/x
  3. Step 3: Cross multiply
    61,186x = 86,167 × 86,167
  4. Step 4: Simplify right side
    61,186x = 7,424,751,889
  5. Step 5: Solve for x
    x = 7,424,751,889/61,186
  6. Step 6: Final answer
    x = 121,347.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.