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Finding the Third Proportional to 46,451 and 100,285

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Solution

The third proportional to 46,451 and 100,285 is: 216,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,451 : 100,285 = 100,285 : x
  2. Step 2: Convert to fraction form
    46,451/100,285 = 100,285/x
  3. Step 3: Cross multiply
    46,451x = 100,285 × 100,285
  4. Step 4: Simplify right side
    46,451x = 10,057,081,225
  5. Step 5: Solve for x
    x = 10,057,081,225/46,451
  6. Step 6: Final answer
    x = 216,509.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.