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Finding the Third Proportional to 58,384 and 125,936

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Solution

The third proportional to 58,384 and 125,936 is: 271,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,384 : 125,936 = 125,936 : x
  2. Step 2: Convert to fraction form
    58,384/125,936 = 125,936/x
  3. Step 3: Cross multiply
    58,384x = 125,936 × 125,936
  4. Step 4: Simplify right side
    58,384x = 15,859,876,096
  5. Step 5: Solve for x
    x = 15,859,876,096/58,384
  6. Step 6: Final answer
    x = 271,647.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.