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Finding the Third Proportional to 81,956 and 116,070

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Solution

The third proportional to 81,956 and 116,070 is: 164,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,956 : 116,070 = 116,070 : x
  2. Step 2: Convert to fraction form
    81,956/116,070 = 116,070/x
  3. Step 3: Cross multiply
    81,956x = 116,070 × 116,070
  4. Step 4: Simplify right side
    81,956x = 13,472,244,900
  5. Step 5: Solve for x
    x = 13,472,244,900/81,956
  6. Step 6: Final answer
    x = 164,383.88

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.