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Finding the Third Proportional to 145,282 and 200,067

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Solution

The third proportional to 145,282 and 200,067 is: 275,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,282 : 200,067 = 200,067 : x
  2. Step 2: Convert to fraction form
    145,282/200,067 = 200,067/x
  3. Step 3: Cross multiply
    145,282x = 200,067 × 200,067
  4. Step 4: Simplify right side
    145,282x = 40,026,804,489
  5. Step 5: Solve for x
    x = 40,026,804,489/145,282
  6. Step 6: Final answer
    x = 275,511.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.