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Finding the Third Proportional to 57,653 and 126,657

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Solution

The third proportional to 57,653 and 126,657 is: 278,250.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,653 : 126,657 = 126,657 : x
  2. Step 2: Convert to fraction form
    57,653/126,657 = 126,657/x
  3. Step 3: Cross multiply
    57,653x = 126,657 × 126,657
  4. Step 4: Simplify right side
    57,653x = 16,041,995,649
  5. Step 5: Solve for x
    x = 16,041,995,649/57,653
  6. Step 6: Final answer
    x = 278,250.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.