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Finding the Third Proportional to 58,267 and 126,914

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Solution

The third proportional to 58,267 and 126,914 is: 276,437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,267 : 126,914 = 126,914 : x
  2. Step 2: Convert to fraction form
    58,267/126,914 = 126,914/x
  3. Step 3: Cross multiply
    58,267x = 126,914 × 126,914
  4. Step 4: Simplify right side
    58,267x = 16,107,163,396
  5. Step 5: Solve for x
    x = 16,107,163,396/58,267
  6. Step 6: Final answer
    x = 276,437.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.