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Finding the Third Proportional to 127,009 and 271,514

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Solution

The third proportional to 127,009 and 271,514 is: 580,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,009 : 271,514 = 271,514 : x
  2. Step 2: Convert to fraction form
    127,009/271,514 = 271,514/x
  3. Step 3: Cross multiply
    127,009x = 271,514 × 271,514
  4. Step 4: Simplify right side
    127,009x = 73,719,852,196
  5. Step 5: Solve for x
    x = 73,719,852,196/127,009
  6. Step 6: Final answer
    x = 580,430.14

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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.