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Finding the Third Proportional to 136,863 and 270,054

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Solution

The third proportional to 136,863 and 270,054 is: 532,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,863 : 270,054 = 270,054 : x
  2. Step 2: Convert to fraction form
    136,863/270,054 = 270,054/x
  3. Step 3: Cross multiply
    136,863x = 270,054 × 270,054
  4. Step 4: Simplify right side
    136,863x = 72,929,162,916
  5. Step 5: Solve for x
    x = 72,929,162,916/136,863
  6. Step 6: Final answer
    x = 532,862.52

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.