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Finding the Third Proportional to 95,600 and 207,784

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Solution

The third proportional to 95,600 and 207,784 is: 451,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,600 : 207,784 = 207,784 : x
  2. Step 2: Convert to fraction form
    95,600/207,784 = 207,784/x
  3. Step 3: Cross multiply
    95,600x = 207,784 × 207,784
  4. Step 4: Simplify right side
    95,600x = 43,174,190,656
  5. Step 5: Solve for x
    x = 43,174,190,656/95,600
  6. Step 6: Final answer
    x = 451,612.87

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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.