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Finding the Third Proportional to 50,899.50 and 76,905

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Solution

The third proportional to 50,899.50 and 76,905 is: 116,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,899.50 : 76,905 = 76,905 : x
  2. Step 2: Convert to fraction form
    50,899.50/76,905 = 76,905/x
  3. Step 3: Cross multiply
    50,899.50x = 76,905 × 76,905
  4. Step 4: Simplify right side
    50,899.50x = 5,914,379,025
  5. Step 5: Solve for x
    x = 5,914,379,025/50,899.50
  6. Step 6: Final answer
    x = 116,197.19

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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.