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Finding the Third Proportional to 127,103 and 271,654

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Solution

The third proportional to 127,103 and 271,654 is: 580,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,103 : 271,654 = 271,654 : x
  2. Step 2: Convert to fraction form
    127,103/271,654 = 271,654/x
  3. Step 3: Cross multiply
    127,103x = 271,654 × 271,654
  4. Step 4: Simplify right side
    127,103x = 73,795,895,716
  5. Step 5: Solve for x
    x = 73,795,895,716/127,103
  6. Step 6: Final answer
    x = 580,599.17

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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.