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Finding the Third Proportional to 95,658 and 202,251

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Solution

The third proportional to 95,658 and 202,251 is: 427,622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,658 : 202,251 = 202,251 : x
  2. Step 2: Convert to fraction form
    95,658/202,251 = 202,251/x
  3. Step 3: Cross multiply
    95,658x = 202,251 × 202,251
  4. Step 4: Simplify right side
    95,658x = 40,905,467,001
  5. Step 5: Solve for x
    x = 40,905,467,001/95,658
  6. Step 6: Final answer
    x = 427,622.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.