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Finding the Third Proportional to 136,793 and 204,643

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Solution

The third proportional to 136,793 and 204,643 is: 306,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,793 : 204,643 = 204,643 : x
  2. Step 2: Convert to fraction form
    136,793/204,643 = 204,643/x
  3. Step 3: Cross multiply
    136,793x = 204,643 × 204,643
  4. Step 4: Simplify right side
    136,793x = 41,878,757,449
  5. Step 5: Solve for x
    x = 41,878,757,449/136,793
  6. Step 6: Final answer
    x = 306,146.93

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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.