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Finding the Third Proportional to 57,184 and 126,000

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Solution

The third proportional to 57,184 and 126,000 is: 277,630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,184 : 126,000 = 126,000 : x
  2. Step 2: Convert to fraction form
    57,184/126,000 = 126,000/x
  3. Step 3: Cross multiply
    57,184x = 126,000 × 126,000
  4. Step 4: Simplify right side
    57,184x = 15,876,000,000
  5. Step 5: Solve for x
    x = 15,876,000,000/57,184
  6. Step 6: Final answer
    x = 277,630.11

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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.