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Finding the Third Proportional to 48,198.50 and 72,014

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Solution

The third proportional to 48,198.50 and 72,014 is: 107,597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,198.50 : 72,014 = 72,014 : x
  2. Step 2: Convert to fraction form
    48,198.50/72,014 = 72,014/x
  3. Step 3: Cross multiply
    48,198.50x = 72,014 × 72,014
  4. Step 4: Simplify right side
    48,198.50x = 5,186,016,196
  5. Step 5: Solve for x
    x = 5,186,016,196/48,198.50
  6. Step 6: Final answer
    x = 107,597.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.