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Finding the Third Proportional to 96,272 and 201,288

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Solution

The third proportional to 96,272 and 201,288 is: 420,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,272 : 201,288 = 201,288 : x
  2. Step 2: Convert to fraction form
    96,272/201,288 = 201,288/x
  3. Step 3: Cross multiply
    96,272x = 201,288 × 201,288
  4. Step 4: Simplify right side
    96,272x = 40,516,858,944
  5. Step 5: Solve for x
    x = 40,516,858,944/96,272
  6. Step 6: Final answer
    x = 420,858.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.