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Finding the Third Proportional to 86,655 and 116,949

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Solution

The third proportional to 86,655 and 116,949 is: 157,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,655 : 116,949 = 116,949 : x
  2. Step 2: Convert to fraction form
    86,655/116,949 = 116,949/x
  3. Step 3: Cross multiply
    86,655x = 116,949 × 116,949
  4. Step 4: Simplify right side
    86,655x = 13,677,068,601
  5. Step 5: Solve for x
    x = 13,677,068,601/86,655
  6. Step 6: Final answer
    x = 157,833.58

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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.