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Finding the Third Proportional to 95,395 and 207,178

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Solution

The third proportional to 95,395 and 207,178 is: 449,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,395 : 207,178 = 207,178 : x
  2. Step 2: Convert to fraction form
    95,395/207,178 = 207,178/x
  3. Step 3: Cross multiply
    95,395x = 207,178 × 207,178
  4. Step 4: Simplify right side
    95,395x = 42,922,723,684
  5. Step 5: Solve for x
    x = 42,922,723,684/95,395
  6. Step 6: Final answer
    x = 449,947.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.