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Finding the Third Proportional to 71,293.50 and 99,674.44

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Solution

The third proportional to 71,293.50 and 99,674.44 is: 139,353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,293.50 : 99,674.44 = 99,674.44 : x
  2. Step 2: Convert to fraction form
    71,293.50/99,674.44 = 99,674.44/x
  3. Step 3: Cross multiply
    71,293.50x = 99,674.44 × 99,674.44
  4. Step 4: Simplify right side
    71,293.50x = 9,934,993,490.94
  5. Step 5: Solve for x
    x = 9,934,993,490.94/71,293.50
  6. Step 6: Final answer
    x = 139,353.43

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.