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Finding the Third Proportional to 58,462 and 126,266

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Solution

The third proportional to 58,462 and 126,266 is: 272,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,462 : 126,266 = 126,266 : x
  2. Step 2: Convert to fraction form
    58,462/126,266 = 126,266/x
  3. Step 3: Cross multiply
    58,462x = 126,266 × 126,266
  4. Step 4: Simplify right side
    58,462x = 15,943,102,756
  5. Step 5: Solve for x
    x = 15,943,102,756/58,462
  6. Step 6: Final answer
    x = 272,708.82

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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.