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Finding the Third Proportional to 127,961 and 264,118

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Solution

The third proportional to 127,961 and 264,118 is: 545,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,961 : 264,118 = 264,118 : x
  2. Step 2: Convert to fraction form
    127,961/264,118 = 264,118/x
  3. Step 3: Cross multiply
    127,961x = 264,118 × 264,118
  4. Step 4: Simplify right side
    127,961x = 69,758,317,924
  5. Step 5: Solve for x
    x = 69,758,317,924/127,961
  6. Step 6: Final answer
    x = 545,152.96

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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.