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Finding the Third Proportional to 127,071 and 271,629

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Solution

The third proportional to 127,071 and 271,629 is: 580,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,071 : 271,629 = 271,629 : x
  2. Step 2: Convert to fraction form
    127,071/271,629 = 271,629/x
  3. Step 3: Cross multiply
    127,071x = 271,629 × 271,629
  4. Step 4: Simplify right side
    127,071x = 73,782,313,641
  5. Step 5: Solve for x
    x = 73,782,313,641/127,071
  6. Step 6: Final answer
    x = 580,638.49

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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.