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Finding the Third Proportional to 57,429 and 126,174

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Solution

The third proportional to 57,429 and 126,174 is: 277,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,429 : 126,174 = 126,174 : x
  2. Step 2: Convert to fraction form
    57,429/126,174 = 126,174/x
  3. Step 3: Cross multiply
    57,429x = 126,174 × 126,174
  4. Step 4: Simplify right side
    57,429x = 15,919,878,276
  5. Step 5: Solve for x
    x = 15,919,878,276/57,429
  6. Step 6: Final answer
    x = 277,209.74

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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.