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Finding the Third Proportional to 85,996 and 132,828

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Solution

The third proportional to 85,996 and 132,828 is: 205,163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,996 : 132,828 = 132,828 : x
  2. Step 2: Convert to fraction form
    85,996/132,828 = 132,828/x
  3. Step 3: Cross multiply
    85,996x = 132,828 × 132,828
  4. Step 4: Simplify right side
    85,996x = 17,643,277,584
  5. Step 5: Solve for x
    x = 17,643,277,584/85,996
  6. Step 6: Final answer
    x = 205,163.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.