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Finding the Third Proportional to 127,014 and 284,100

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Solution

The third proportional to 127,014 and 284,100 is: 635,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,014 : 284,100 = 284,100 : x
  2. Step 2: Convert to fraction form
    127,014/284,100 = 284,100/x
  3. Step 3: Cross multiply
    127,014x = 284,100 × 284,100
  4. Step 4: Simplify right side
    127,014x = 80,712,810,000
  5. Step 5: Solve for x
    x = 80,712,810,000/127,014
  6. Step 6: Final answer
    x = 635,463.89

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.