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Finding the Third Proportional to 127,152 and 270,738

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Solution

The third proportional to 127,152 and 270,738 is: 576,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,152 : 270,738 = 270,738 : x
  2. Step 2: Convert to fraction form
    127,152/270,738 = 270,738/x
  3. Step 3: Cross multiply
    127,152x = 270,738 × 270,738
  4. Step 4: Simplify right side
    127,152x = 73,299,064,644
  5. Step 5: Solve for x
    x = 73,299,064,644/127,152
  6. Step 6: Final answer
    x = 576,468.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.