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Finding the Third Proportional to 58,866 and 126,948

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Solution

The third proportional to 58,866 and 126,948 is: 273,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,866 : 126,948 = 126,948 : x
  2. Step 2: Convert to fraction form
    58,866/126,948 = 126,948/x
  3. Step 3: Cross multiply
    58,866x = 126,948 × 126,948
  4. Step 4: Simplify right side
    58,866x = 16,115,794,704
  5. Step 5: Solve for x
    x = 16,115,794,704/58,866
  6. Step 6: Final answer
    x = 273,770.85

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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.