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Finding the Third Proportional to 57,000.94 and 127,108.69

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Solution

The third proportional to 57,000.94 and 127,108.69 is: 283,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,000.94 : 127,108.69 = 127,108.69 : x
  2. Step 2: Convert to fraction form
    57,000.94/127,108.69 = 127,108.69/x
  3. Step 3: Cross multiply
    57,000.94x = 127,108.69 × 127,108.69
  4. Step 4: Simplify right side
    57,000.94x = 16,156,618,437.97
  5. Step 5: Solve for x
    x = 16,156,618,437.97/57,000.94
  6. Step 6: Final answer
    x = 283,444.78

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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.