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Finding the Third Proportional to 56,252 and 122,301

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Solution

The third proportional to 56,252 and 122,301 is: 265,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,252 : 122,301 = 122,301 : x
  2. Step 2: Convert to fraction form
    56,252/122,301 = 122,301/x
  3. Step 3: Cross multiply
    56,252x = 122,301 × 122,301
  4. Step 4: Simplify right side
    56,252x = 14,957,534,601
  5. Step 5: Solve for x
    x = 14,957,534,601/56,252
  6. Step 6: Final answer
    x = 265,902.27

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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.