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Finding the Third Proportional to 56,333 and 122,398

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Solution

The third proportional to 56,333 and 122,398 is: 265,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,333 : 122,398 = 122,398 : x
  2. Step 2: Convert to fraction form
    56,333/122,398 = 122,398/x
  3. Step 3: Cross multiply
    56,333x = 122,398 × 122,398
  4. Step 4: Simplify right side
    56,333x = 14,981,270,404
  5. Step 5: Solve for x
    x = 14,981,270,404/56,333
  6. Step 6: Final answer
    x = 265,941.28

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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.