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Finding the Third Proportional to 86,636 and 116,805

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Solution

The third proportional to 86,636 and 116,805 is: 157,479.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,636 : 116,805 = 116,805 : x
  2. Step 2: Convert to fraction form
    86,636/116,805 = 116,805/x
  3. Step 3: Cross multiply
    86,636x = 116,805 × 116,805
  4. Step 4: Simplify right side
    86,636x = 13,643,408,025
  5. Step 5: Solve for x
    x = 13,643,408,025/86,636
  6. Step 6: Final answer
    x = 157,479.66

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.