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Finding the Third Proportional to 126,502 and 271,763

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Solution

The third proportional to 126,502 and 271,763 is: 583,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,502 : 271,763 = 271,763 : x
  2. Step 2: Convert to fraction form
    126,502/271,763 = 271,763/x
  3. Step 3: Cross multiply
    126,502x = 271,763 × 271,763
  4. Step 4: Simplify right side
    126,502x = 73,855,128,169
  5. Step 5: Solve for x
    x = 73,855,128,169/126,502
  6. Step 6: Final answer
    x = 583,825.77

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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.