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Finding the Third Proportional to 44,107.50 and 68,314.50

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Solution

The third proportional to 44,107.50 and 68,314.50 is: 105,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,107.50 : 68,314.50 = 68,314.50 : x
  2. Step 2: Convert to fraction form
    44,107.50/68,314.50 = 68,314.50/x
  3. Step 3: Cross multiply
    44,107.50x = 68,314.50 × 68,314.50
  4. Step 4: Simplify right side
    44,107.50x = 4,666,870,910.25
  5. Step 5: Solve for x
    x = 4,666,870,910.25/44,107.50
  6. Step 6: Final answer
    x = 105,806.74

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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.