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Finding the Third Proportional to 50,713.50 and 72,084

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Solution

The third proportional to 50,713.50 and 72,084 is: 102,459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,713.50 : 72,084 = 72,084 : x
  2. Step 2: Convert to fraction form
    50,713.50/72,084 = 72,084/x
  3. Step 3: Cross multiply
    50,713.50x = 72,084 × 72,084
  4. Step 4: Simplify right side
    50,713.50x = 5,196,103,056
  5. Step 5: Solve for x
    x = 5,196,103,056/50,713.50
  6. Step 6: Final answer
    x = 102,459.96

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.