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Finding the Third Proportional to 50,078.25 and 70,439.63

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Solution

The third proportional to 50,078.25 and 70,439.63 is: 99,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,078.25 : 70,439.63 = 70,439.63 : x
  2. Step 2: Convert to fraction form
    50,078.25/70,439.63 = 70,439.63/x
  3. Step 3: Cross multiply
    50,078.25x = 70,439.63 × 70,439.63
  4. Step 4: Simplify right side
    50,078.25x = 4,961,740,770.14
  5. Step 5: Solve for x
    x = 4,961,740,770.14/50,078.25
  6. Step 6: Final answer
    x = 99,079.76

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.