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Finding the Third Proportional to 127,110 and 271,666

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Solution

The third proportional to 127,110 and 271,666 is: 580,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,110 : 271,666 = 271,666 : x
  2. Step 2: Convert to fraction form
    127,110/271,666 = 271,666/x
  3. Step 3: Cross multiply
    127,110x = 271,666 × 271,666
  4. Step 4: Simplify right side
    127,110x = 73,802,415,556
  5. Step 5: Solve for x
    x = 73,802,415,556/127,110
  6. Step 6: Final answer
    x = 580,618.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.