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Finding the Third Proportional to 95,145.75 and 207,243

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Solution

The third proportional to 95,145.75 and 207,243 is: 451,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,145.75 : 207,243 = 207,243 : x
  2. Step 2: Convert to fraction form
    95,145.75/207,243 = 207,243/x
  3. Step 3: Cross multiply
    95,145.75x = 207,243 × 207,243
  4. Step 4: Simplify right side
    95,145.75x = 42,949,661,049
  5. Step 5: Solve for x
    x = 42,949,661,049/95,145.75
  6. Step 6: Final answer
    x = 451,409.14

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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.