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Finding the Third Proportional to 141,696 and 191,592

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Solution

The third proportional to 141,696 and 191,592 is: 259,058.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,696 : 191,592 = 191,592 : x
  2. Step 2: Convert to fraction form
    141,696/191,592 = 191,592/x
  3. Step 3: Cross multiply
    141,696x = 191,592 × 191,592
  4. Step 4: Simplify right side
    141,696x = 36,707,494,464
  5. Step 5: Solve for x
    x = 36,707,494,464/141,696
  6. Step 6: Final answer
    x = 259,058.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.