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Finding the Third Proportional to 57,507.70 and 125,676.98

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Solution

The third proportional to 57,507.70 and 125,676.98 is: 274,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,507.70 : 125,676.98 = 125,676.98 : x
  2. Step 2: Convert to fraction form
    57,507.70/125,676.98 = 125,676.98/x
  3. Step 3: Cross multiply
    57,507.70x = 125,676.98 × 125,676.98
  4. Step 4: Simplify right side
    57,507.70x = 15,794,704,401.59
  5. Step 5: Solve for x
    x = 15,794,704,401.59/57,507.70
  6. Step 6: Final answer
    x = 274,653.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.