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Finding the Third Proportional to 136,620 and 203,525

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Solution

The third proportional to 136,620 and 203,525 is: 303,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,620 : 203,525 = 203,525 : x
  2. Step 2: Convert to fraction form
    136,620/203,525 = 203,525/x
  3. Step 3: Cross multiply
    136,620x = 203,525 × 203,525
  4. Step 4: Simplify right side
    136,620x = 41,422,425,625
  5. Step 5: Solve for x
    x = 41,422,425,625/136,620
  6. Step 6: Final answer
    x = 303,194.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.