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Finding the Third Proportional to 133,067 and 202,141

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Solution

The third proportional to 133,067 and 202,141 is: 307,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,067 : 202,141 = 202,141 : x
  2. Step 2: Convert to fraction form
    133,067/202,141 = 202,141/x
  3. Step 3: Cross multiply
    133,067x = 202,141 × 202,141
  4. Step 4: Simplify right side
    133,067x = 40,860,983,881
  5. Step 5: Solve for x
    x = 40,860,983,881/133,067
  6. Step 6: Final answer
    x = 307,070.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.