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Finding the Third Proportional to 136,827 and 204,687

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Solution

The third proportional to 136,827 and 204,687 is: 306,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,827 : 204,687 = 204,687 : x
  2. Step 2: Convert to fraction form
    136,827/204,687 = 204,687/x
  3. Step 3: Cross multiply
    136,827x = 204,687 × 204,687
  4. Step 4: Simplify right side
    136,827x = 41,896,767,969
  5. Step 5: Solve for x
    x = 41,896,767,969/136,827
  6. Step 6: Final answer
    x = 306,202.49

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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.