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Finding the Third Proportional to 52,103.25 and 70,601.63

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Solution

The third proportional to 52,103.25 and 70,601.63 is: 95,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,103.25 : 70,601.63 = 70,601.63 : x
  2. Step 2: Convert to fraction form
    52,103.25/70,601.63 = 70,601.63/x
  3. Step 3: Cross multiply
    52,103.25x = 70,601.63 × 70,601.63
  4. Step 4: Simplify right side
    52,103.25x = 4,984,589,452.64
  5. Step 5: Solve for x
    x = 4,984,589,452.64/52,103.25
  6. Step 6: Final answer
    x = 95,667.53

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.