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Finding the Third Proportional to 103,992 and 156,696

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Solution

The third proportional to 103,992 and 156,696 is: 236,110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,992 : 156,696 = 156,696 : x
  2. Step 2: Convert to fraction form
    103,992/156,696 = 156,696/x
  3. Step 3: Cross multiply
    103,992x = 156,696 × 156,696
  4. Step 4: Simplify right side
    103,992x = 24,553,636,416
  5. Step 5: Solve for x
    x = 24,553,636,416/103,992
  6. Step 6: Final answer
    x = 236,110.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.