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Finding the Third Proportional to 104,310 and 141,696

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Solution

The third proportional to 104,310 and 141,696 is: 192,481.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,310 : 141,696 = 141,696 : x
  2. Step 2: Convert to fraction form
    104,310/141,696 = 141,696/x
  3. Step 3: Cross multiply
    104,310x = 141,696 × 141,696
  4. Step 4: Simplify right side
    104,310x = 20,077,756,416
  5. Step 5: Solve for x
    x = 20,077,756,416/104,310
  6. Step 6: Final answer
    x = 192,481.61

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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.