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Finding the Third Proportional to 141,466 and 192,241

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Solution

The third proportional to 141,466 and 192,241 is: 261,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,466 : 192,241 = 192,241 : x
  2. Step 2: Convert to fraction form
    141,466/192,241 = 192,241/x
  3. Step 3: Cross multiply
    141,466x = 192,241 × 192,241
  4. Step 4: Simplify right side
    141,466x = 36,956,602,081
  5. Step 5: Solve for x
    x = 36,956,602,081/141,466
  6. Step 6: Final answer
    x = 261,240.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.