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Finding the Third Proportional to 85,952 and 132,832

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Solution

The third proportional to 85,952 and 132,832 is: 205,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,952 : 132,832 = 132,832 : x
  2. Step 2: Convert to fraction form
    85,952/132,832 = 132,832/x
  3. Step 3: Cross multiply
    85,952x = 132,832 × 132,832
  4. Step 4: Simplify right side
    85,952x = 17,644,340,224
  5. Step 5: Solve for x
    x = 17,644,340,224/85,952
  6. Step 6: Final answer
    x = 205,281.32

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Why These Related Problems?

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