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Finding the Third Proportional to 135,254 and 195,929

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Solution

The third proportional to 135,254 and 195,929 is: 283,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,254 : 195,929 = 195,929 : x
  2. Step 2: Convert to fraction form
    135,254/195,929 = 195,929/x
  3. Step 3: Cross multiply
    135,254x = 195,929 × 195,929
  4. Step 4: Simplify right side
    135,254x = 38,388,173,041
  5. Step 5: Solve for x
    x = 38,388,173,041/135,254
  6. Step 6: Final answer
    x = 283,822.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.