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Finding the Third Proportional to 141,068 and 191,371

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Solution

The third proportional to 141,068 and 191,371 is: 259,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,068 : 191,371 = 191,371 : x
  2. Step 2: Convert to fraction form
    141,068/191,371 = 191,371/x
  3. Step 3: Cross multiply
    141,068x = 191,371 × 191,371
  4. Step 4: Simplify right side
    141,068x = 36,622,859,641
  5. Step 5: Solve for x
    x = 36,622,859,641/141,068
  6. Step 6: Final answer
    x = 259,611.39

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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.