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Finding the Third Proportional to 57,733 and 126,128

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Solution

The third proportional to 57,733 and 126,128 is: 275,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,733 : 126,128 = 126,128 : x
  2. Step 2: Convert to fraction form
    57,733/126,128 = 126,128/x
  3. Step 3: Cross multiply
    57,733x = 126,128 × 126,128
  4. Step 4: Simplify right side
    57,733x = 15,908,272,384
  5. Step 5: Solve for x
    x = 15,908,272,384/57,733
  6. Step 6: Final answer
    x = 275,549.03

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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.