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Finding the Third Proportional to 131,265 and 203,652

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Solution

The third proportional to 131,265 and 203,652 is: 315,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,265 : 203,652 = 203,652 : x
  2. Step 2: Convert to fraction form
    131,265/203,652 = 203,652/x
  3. Step 3: Cross multiply
    131,265x = 203,652 × 203,652
  4. Step 4: Simplify right side
    131,265x = 41,474,137,104
  5. Step 5: Solve for x
    x = 41,474,137,104/131,265
  6. Step 6: Final answer
    x = 315,957.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.