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Finding the Third Proportional to 127,956 and 264,108

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Solution

The third proportional to 127,956 and 264,108 is: 545,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,956 : 264,108 = 264,108 : x
  2. Step 2: Convert to fraction form
    127,956/264,108 = 264,108/x
  3. Step 3: Cross multiply
    127,956x = 264,108 × 264,108
  4. Step 4: Simplify right side
    127,956x = 69,753,035,664
  5. Step 5: Solve for x
    x = 69,753,035,664/127,956
  6. Step 6: Final answer
    x = 545,132.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.