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Finding the Third Proportional to 96,860 and 210,872

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Solution

The third proportional to 96,860 and 210,872 is: 459,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,860 : 210,872 = 210,872 : x
  2. Step 2: Convert to fraction form
    96,860/210,872 = 210,872/x
  3. Step 3: Cross multiply
    96,860x = 210,872 × 210,872
  4. Step 4: Simplify right side
    96,860x = 44,467,000,384
  5. Step 5: Solve for x
    x = 44,467,000,384/96,860
  6. Step 6: Final answer
    x = 459,085.28

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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.