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Finding the Third Proportional to 95,952 and 145,268

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Solution

The third proportional to 95,952 and 145,268 is: 219,930.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,952 : 145,268 = 145,268 : x
  2. Step 2: Convert to fraction form
    95,952/145,268 = 145,268/x
  3. Step 3: Cross multiply
    95,952x = 145,268 × 145,268
  4. Step 4: Simplify right side
    95,952x = 21,102,791,824
  5. Step 5: Solve for x
    x = 21,102,791,824/95,952
  6. Step 6: Final answer
    x = 219,930.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.