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Finding the Third Proportional to 58,428 and 126,698

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Solution

The third proportional to 58,428 and 126,698 is: 274,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,428 : 126,698 = 126,698 : x
  2. Step 2: Convert to fraction form
    58,428/126,698 = 126,698/x
  3. Step 3: Cross multiply
    58,428x = 126,698 × 126,698
  4. Step 4: Simplify right side
    58,428x = 16,052,383,204
  5. Step 5: Solve for x
    x = 16,052,383,204/58,428
  6. Step 6: Final answer
    x = 274,737.85

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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.