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Finding the Third Proportional to 56,383 and 122,485

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Solution

The third proportional to 56,383 and 122,485 is: 266,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,383 : 122,485 = 122,485 : x
  2. Step 2: Convert to fraction form
    56,383/122,485 = 122,485/x
  3. Step 3: Cross multiply
    56,383x = 122,485 × 122,485
  4. Step 4: Simplify right side
    56,383x = 15,002,575,225
  5. Step 5: Solve for x
    x = 15,002,575,225/56,383
  6. Step 6: Final answer
    x = 266,083.31

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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.