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Finding the Third Proportional to 57,049 and 127,215.50

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Solution

The third proportional to 57,049 and 127,215.50 is: 283,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,049 : 127,215.50 = 127,215.50 : x
  2. Step 2: Convert to fraction form
    57,049/127,215.50 = 127,215.50/x
  3. Step 3: Cross multiply
    57,049x = 127,215.50 × 127,215.50
  4. Step 4: Simplify right side
    57,049x = 16,183,783,440.25
  5. Step 5: Solve for x
    x = 16,183,783,440.25/57,049
  6. Step 6: Final answer
    x = 283,682.16

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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.