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Finding the Third Proportional to 95,952 and 203,596

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Solution

The third proportional to 95,952 and 203,596 is: 432,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,952 : 203,596 = 203,596 : x
  2. Step 2: Convert to fraction form
    95,952/203,596 = 203,596/x
  3. Step 3: Cross multiply
    95,952x = 203,596 × 203,596
  4. Step 4: Simplify right side
    95,952x = 41,451,331,216
  5. Step 5: Solve for x
    x = 41,451,331,216/95,952
  6. Step 6: Final answer
    x = 432,000.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.