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Finding the Third Proportional to 49,396 and 96,288

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Solution

The third proportional to 49,396 and 96,288 is: 187,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,396 : 96,288 = 96,288 : x
  2. Step 2: Convert to fraction form
    49,396/96,288 = 96,288/x
  3. Step 3: Cross multiply
    49,396x = 96,288 × 96,288
  4. Step 4: Simplify right side
    49,396x = 9,271,378,944
  5. Step 5: Solve for x
    x = 9,271,378,944/49,396
  6. Step 6: Final answer
    x = 187,694.93

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.