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Finding the Third Proportional to 127,959 and 264,114

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Solution

The third proportional to 127,959 and 264,114 is: 545,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,959 : 264,114 = 264,114 : x
  2. Step 2: Convert to fraction form
    127,959/264,114 = 264,114/x
  3. Step 3: Cross multiply
    127,959x = 264,114 × 264,114
  4. Step 4: Simplify right side
    127,959x = 69,756,204,996
  5. Step 5: Solve for x
    x = 69,756,204,996/127,959
  6. Step 6: Final answer
    x = 545,144.97

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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.