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Finding the Third Proportional to 135,967 and 254,376

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Solution

The third proportional to 135,967 and 254,376 is: 475,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,967 : 254,376 = 254,376 : x
  2. Step 2: Convert to fraction form
    135,967/254,376 = 254,376/x
  3. Step 3: Cross multiply
    135,967x = 254,376 × 254,376
  4. Step 4: Simplify right side
    135,967x = 64,707,149,376
  5. Step 5: Solve for x
    x = 64,707,149,376/135,967
  6. Step 6: Final answer
    x = 475,903.34

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.