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Finding the Third Proportional to 136,816 and 205,620

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Solution

The third proportional to 136,816 and 205,620 is: 309,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,816 : 205,620 = 205,620 : x
  2. Step 2: Convert to fraction form
    136,816/205,620 = 205,620/x
  3. Step 3: Cross multiply
    136,816x = 205,620 × 205,620
  4. Step 4: Simplify right side
    136,816x = 42,279,584,400
  5. Step 5: Solve for x
    x = 42,279,584,400/136,816
  6. Step 6: Final answer
    x = 309,025.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.