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Finding the Third Proportional to 50,806.50 and 77,187

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Solution

The third proportional to 50,806.50 and 77,187 is: 117,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,806.50 : 77,187 = 77,187 : x
  2. Step 2: Convert to fraction form
    50,806.50/77,187 = 77,187/x
  3. Step 3: Cross multiply
    50,806.50x = 77,187 × 77,187
  4. Step 4: Simplify right side
    50,806.50x = 5,957,832,969
  5. Step 5: Solve for x
    x = 5,957,832,969/50,806.50
  6. Step 6: Final answer
    x = 117,265.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.