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Finding the Third Proportional to 95,937 and 208,176

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Solution

The third proportional to 95,937 and 208,176 is: 451,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,937 : 208,176 = 208,176 : x
  2. Step 2: Convert to fraction form
    95,937/208,176 = 208,176/x
  3. Step 3: Cross multiply
    95,937x = 208,176 × 208,176
  4. Step 4: Simplify right side
    95,937x = 43,337,246,976
  5. Step 5: Solve for x
    x = 43,337,246,976/95,937
  6. Step 6: Final answer
    x = 451,726.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.