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Finding the Third Proportional to 67,222 and 141,324

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Solution

The third proportional to 67,222 and 141,324 is: 297,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,222 : 141,324 = 141,324 : x
  2. Step 2: Convert to fraction form
    67,222/141,324 = 141,324/x
  3. Step 3: Cross multiply
    67,222x = 141,324 × 141,324
  4. Step 4: Simplify right side
    67,222x = 19,972,472,976
  5. Step 5: Solve for x
    x = 19,972,472,976/67,222
  6. Step 6: Final answer
    x = 297,112.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.