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Finding the Third Proportional to 46,285 and 100,670

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Solution

The third proportional to 46,285 and 100,670 is: 218,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,285 : 100,670 = 100,670 : x
  2. Step 2: Convert to fraction form
    46,285/100,670 = 100,670/x
  3. Step 3: Cross multiply
    46,285x = 100,670 × 100,670
  4. Step 4: Simplify right side
    46,285x = 10,134,448,900
  5. Step 5: Solve for x
    x = 10,134,448,900/46,285
  6. Step 6: Final answer
    x = 218,957.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.