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Finding the Third Proportional to 86,634 and 116,802

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Solution

The third proportional to 86,634 and 116,802 is: 157,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,634 : 116,802 = 116,802 : x
  2. Step 2: Convert to fraction form
    86,634/116,802 = 116,802/x
  3. Step 3: Cross multiply
    86,634x = 116,802 × 116,802
  4. Step 4: Simplify right side
    86,634x = 13,642,707,204
  5. Step 5: Solve for x
    x = 13,642,707,204/86,634
  6. Step 6: Final answer
    x = 157,475.21

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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.