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Finding the Third Proportional to 135,297 and 192,312

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Solution

The third proportional to 135,297 and 192,312 is: 273,353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,297 : 192,312 = 192,312 : x
  2. Step 2: Convert to fraction form
    135,297/192,312 = 192,312/x
  3. Step 3: Cross multiply
    135,297x = 192,312 × 192,312
  4. Step 4: Simplify right side
    135,297x = 36,983,905,344
  5. Step 5: Solve for x
    x = 36,983,905,344/135,297
  6. Step 6: Final answer
    x = 273,353.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.