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Finding the Third Proportional to 127,116 and 270,666

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Solution

The third proportional to 127,116 and 270,666 is: 576,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,116 : 270,666 = 270,666 : x
  2. Step 2: Convert to fraction form
    127,116/270,666 = 270,666/x
  3. Step 3: Cross multiply
    127,116x = 270,666 × 270,666
  4. Step 4: Simplify right side
    127,116x = 73,260,083,556
  5. Step 5: Solve for x
    x = 73,260,083,556/127,116
  6. Step 6: Final answer
    x = 576,324.64

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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.