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Finding the Third Proportional to 133,087 and 205,577

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Solution

The third proportional to 133,087 and 205,577 is: 317,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,087 : 205,577 = 205,577 : x
  2. Step 2: Convert to fraction form
    133,087/205,577 = 205,577/x
  3. Step 3: Cross multiply
    133,087x = 205,577 × 205,577
  4. Step 4: Simplify right side
    133,087x = 42,261,902,929
  5. Step 5: Solve for x
    x = 42,261,902,929/133,087
  6. Step 6: Final answer
    x = 317,550.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.