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Finding the Third Proportional to 127,005 and 271,506

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Solution

The third proportional to 127,005 and 271,506 is: 580,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,005 : 271,506 = 271,506 : x
  2. Step 2: Convert to fraction form
    127,005/271,506 = 271,506/x
  3. Step 3: Cross multiply
    127,005x = 271,506 × 271,506
  4. Step 4: Simplify right side
    127,005x = 73,715,508,036
  5. Step 5: Solve for x
    x = 73,715,508,036/127,005
  6. Step 6: Final answer
    x = 580,414.22

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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.