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Finding the Third Proportional to 95,568 and 202,656

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Solution

The third proportional to 95,568 and 202,656 is: 429,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,568 : 202,656 = 202,656 : x
  2. Step 2: Convert to fraction form
    95,568/202,656 = 202,656/x
  3. Step 3: Cross multiply
    95,568x = 202,656 × 202,656
  4. Step 4: Simplify right side
    95,568x = 41,069,454,336
  5. Step 5: Solve for x
    x = 41,069,454,336/95,568
  6. Step 6: Final answer
    x = 429,740.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.