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Finding the Third Proportional to 67,287 and 146,022

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Solution

The third proportional to 67,287 and 146,022 is: 316,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,287 : 146,022 = 146,022 : x
  2. Step 2: Convert to fraction form
    67,287/146,022 = 146,022/x
  3. Step 3: Cross multiply
    67,287x = 146,022 × 146,022
  4. Step 4: Simplify right side
    67,287x = 21,322,424,484
  5. Step 5: Solve for x
    x = 21,322,424,484/67,287
  6. Step 6: Final answer
    x = 316,887.73

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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.