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Finding the Third Proportional to 50,700 and 78,696

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Solution

The third proportional to 50,700 and 78,696 is: 122,151.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,700 : 78,696 = 78,696 : x
  2. Step 2: Convert to fraction form
    50,700/78,696 = 78,696/x
  3. Step 3: Cross multiply
    50,700x = 78,696 × 78,696
  4. Step 4: Simplify right side
    50,700x = 6,193,060,416
  5. Step 5: Solve for x
    x = 6,193,060,416/50,700
  6. Step 6: Final answer
    x = 122,151.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.