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Finding the Third Proportional to 125,722 and 271,045

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Solution

The third proportional to 125,722 and 271,045 is: 584,347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,722 : 271,045 = 271,045 : x
  2. Step 2: Convert to fraction form
    125,722/271,045 = 271,045/x
  3. Step 3: Cross multiply
    125,722x = 271,045 × 271,045
  4. Step 4: Simplify right side
    125,722x = 73,465,392,025
  5. Step 5: Solve for x
    x = 73,465,392,025/125,722
  6. Step 6: Final answer
    x = 584,347.94

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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.