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Finding the Third Proportional to 127,077 and 271,641

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Solution

The third proportional to 127,077 and 271,641 is: 580,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,077 : 271,641 = 271,641 : x
  2. Step 2: Convert to fraction form
    127,077/271,641 = 271,641/x
  3. Step 3: Cross multiply
    127,077x = 271,641 × 271,641
  4. Step 4: Simplify right side
    127,077x = 73,788,832,881
  5. Step 5: Solve for x
    x = 73,788,832,881/127,077
  6. Step 6: Final answer
    x = 580,662.38

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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.