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Finding the Third Proportional to 86,761 and 118,197

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Solution

The third proportional to 86,761 and 118,197 is: 161,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,761 : 118,197 = 118,197 : x
  2. Step 2: Convert to fraction form
    86,761/118,197 = 118,197/x
  3. Step 3: Cross multiply
    86,761x = 118,197 × 118,197
  4. Step 4: Simplify right side
    86,761x = 13,970,530,809
  5. Step 5: Solve for x
    x = 13,970,530,809/86,761
  6. Step 6: Final answer
    x = 161,023.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.