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Finding the Third Proportional to 85,944 and 132,804

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Solution

The third proportional to 85,944 and 132,804 is: 205,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,944 : 132,804 = 132,804 : x
  2. Step 2: Convert to fraction form
    85,944/132,804 = 132,804/x
  3. Step 3: Cross multiply
    85,944x = 132,804 × 132,804
  4. Step 4: Simplify right side
    85,944x = 17,636,902,416
  5. Step 5: Solve for x
    x = 17,636,902,416/85,944
  6. Step 6: Final answer
    x = 205,213.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.