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Finding the Third Proportional to 125,737 and 271,075

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Solution

The third proportional to 125,737 and 271,075 is: 584,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,737 : 271,075 = 271,075 : x
  2. Step 2: Convert to fraction form
    125,737/271,075 = 271,075/x
  3. Step 3: Cross multiply
    125,737x = 271,075 × 271,075
  4. Step 4: Simplify right side
    125,737x = 73,481,655,625
  5. Step 5: Solve for x
    x = 73,481,655,625/125,737
  6. Step 6: Final answer
    x = 584,407.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.