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Finding the Third Proportional to 95,072 and 207,784

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Solution

The third proportional to 95,072 and 207,784 is: 454,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,072 : 207,784 = 207,784 : x
  2. Step 2: Convert to fraction form
    95,072/207,784 = 207,784/x
  3. Step 3: Cross multiply
    95,072x = 207,784 × 207,784
  4. Step 4: Simplify right side
    95,072x = 43,174,190,656
  5. Step 5: Solve for x
    x = 43,174,190,656/95,072
  6. Step 6: Final answer
    x = 454,120.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.