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Finding the Third Proportional to 122,137.88 and 269,127.56

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Solution

The third proportional to 122,137.88 and 269,127.56 is: 593,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,137.88 : 269,127.56 = 269,127.56 : x
  2. Step 2: Convert to fraction form
    122,137.88/269,127.56 = 269,127.56/x
  3. Step 3: Cross multiply
    122,137.88x = 269,127.56 × 269,127.56
  4. Step 4: Simplify right side
    122,137.88x = 72,429,644,897.19
  5. Step 5: Solve for x
    x = 72,429,644,897.19/122,137.88
  6. Step 6: Final answer
    x = 593,015.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.