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Finding the Third Proportional to 49,581 and 96,670

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Solution

The third proportional to 49,581 and 96,670 is: 188,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,581 : 96,670 = 96,670 : x
  2. Step 2: Convert to fraction form
    49,581/96,670 = 96,670/x
  3. Step 3: Cross multiply
    49,581x = 96,670 × 96,670
  4. Step 4: Simplify right side
    49,581x = 9,345,088,900
  5. Step 5: Solve for x
    x = 9,345,088,900/49,581
  6. Step 6: Final answer
    x = 188,481.25

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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.