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Finding the Third Proportional to 127,230 and 271,956

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Solution

The third proportional to 127,230 and 271,956 is: 581,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,230 : 271,956 = 271,956 : x
  2. Step 2: Convert to fraction form
    127,230/271,956 = 271,956/x
  3. Step 3: Cross multiply
    127,230x = 271,956 × 271,956
  4. Step 4: Simplify right side
    127,230x = 73,960,065,936
  5. Step 5: Solve for x
    x = 73,960,065,936/127,230
  6. Step 6: Final answer
    x = 581,309.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.