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Finding the Third Proportional to 136,837.13 and 204,705

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Solution

The third proportional to 136,837.13 and 204,705 is: 306,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,837.13 : 204,705 = 204,705 : x
  2. Step 2: Convert to fraction form
    136,837.13/204,705 = 204,705/x
  3. Step 3: Cross multiply
    136,837.13x = 204,705 × 204,705
  4. Step 4: Simplify right side
    136,837.13x = 41,904,137,025
  5. Step 5: Solve for x
    x = 41,904,137,025/136,837.13
  6. Step 6: Final answer
    x = 306,233.68

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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.