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Finding the Third Proportional to 95,496 and 210,051

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Solution

The third proportional to 95,496 and 210,051 is: 462,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,496 : 210,051 = 210,051 : x
  2. Step 2: Convert to fraction form
    95,496/210,051 = 210,051/x
  3. Step 3: Cross multiply
    95,496x = 210,051 × 210,051
  4. Step 4: Simplify right side
    95,496x = 44,121,422,601
  5. Step 5: Solve for x
    x = 44,121,422,601/95,496
  6. Step 6: Final answer
    x = 462,023.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.