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Finding the Third Proportional to 89,952 and 132,012

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Solution

The third proportional to 89,952 and 132,012 is: 193,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,952 : 132,012 = 132,012 : x
  2. Step 2: Convert to fraction form
    89,952/132,012 = 132,012/x
  3. Step 3: Cross multiply
    89,952x = 132,012 × 132,012
  4. Step 4: Simplify right side
    89,952x = 17,427,168,144
  5. Step 5: Solve for x
    x = 17,427,168,144/89,952
  6. Step 6: Final answer
    x = 193,738.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.