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Finding the Third Proportional to 142,134 and 195,273

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Solution

The third proportional to 142,134 and 195,273 is: 268,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,134 : 195,273 = 195,273 : x
  2. Step 2: Convert to fraction form
    142,134/195,273 = 195,273/x
  3. Step 3: Cross multiply
    142,134x = 195,273 × 195,273
  4. Step 4: Simplify right side
    142,134x = 38,131,544,529
  5. Step 5: Solve for x
    x = 38,131,544,529/142,134
  6. Step 6: Final answer
    x = 268,278.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.