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Finding the Third Proportional to 126,051 and 271,221

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Solution

The third proportional to 126,051 and 271,221 is: 583,579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,051 : 271,221 = 271,221 : x
  2. Step 2: Convert to fraction form
    126,051/271,221 = 271,221/x
  3. Step 3: Cross multiply
    126,051x = 271,221 × 271,221
  4. Step 4: Simplify right side
    126,051x = 73,560,830,841
  5. Step 5: Solve for x
    x = 73,560,830,841/126,051
  6. Step 6: Final answer
    x = 583,579.91

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Why These Related Problems?

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