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Finding the Third Proportional to 50,071.50 and 105,772.50

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Solution

The third proportional to 50,071.50 and 105,772.50 is: 223,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,071.50 : 105,772.50 = 105,772.50 : x
  2. Step 2: Convert to fraction form
    50,071.50/105,772.50 = 105,772.50/x
  3. Step 3: Cross multiply
    50,071.50x = 105,772.50 × 105,772.50
  4. Step 4: Simplify right side
    50,071.50x = 11,187,821,756.25
  5. Step 5: Solve for x
    x = 11,187,821,756.25/50,071.50
  6. Step 6: Final answer
    x = 223,436.92

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.