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Finding the Third Proportional to 57,126 and 127,500

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Solution

The third proportional to 57,126 and 127,500 is: 284,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,126 : 127,500 = 127,500 : x
  2. Step 2: Convert to fraction form
    57,126/127,500 = 127,500/x
  3. Step 3: Cross multiply
    57,126x = 127,500 × 127,500
  4. Step 4: Simplify right side
    57,126x = 16,256,250,000
  5. Step 5: Solve for x
    x = 16,256,250,000/57,126
  6. Step 6: Final answer
    x = 284,568.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.