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Finding the Third Proportional to 126,069 and 271,254

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Solution

The third proportional to 126,069 and 271,254 is: 583,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,069 : 271,254 = 271,254 : x
  2. Step 2: Convert to fraction form
    126,069/271,254 = 271,254/x
  3. Step 3: Cross multiply
    126,069x = 271,254 × 271,254
  4. Step 4: Simplify right side
    126,069x = 73,578,732,516
  5. Step 5: Solve for x
    x = 73,578,732,516/126,069
  6. Step 6: Final answer
    x = 583,638.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.