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Finding the Third Proportional to 97,659 and 210,249

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Solution

The third proportional to 97,659 and 210,249 is: 452,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,659 : 210,249 = 210,249 : x
  2. Step 2: Convert to fraction form
    97,659/210,249 = 210,249/x
  3. Step 3: Cross multiply
    97,659x = 210,249 × 210,249
  4. Step 4: Simplify right side
    97,659x = 44,204,642,001
  5. Step 5: Solve for x
    x = 44,204,642,001/97,659
  6. Step 6: Final answer
    x = 452,642.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.