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Finding the Third Proportional to 48,210 and 72,059

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Solution

The third proportional to 48,210 and 72,059 is: 107,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,210 : 72,059 = 72,059 : x
  2. Step 2: Convert to fraction form
    48,210/72,059 = 72,059/x
  3. Step 3: Cross multiply
    48,210x = 72,059 × 72,059
  4. Step 4: Simplify right side
    48,210x = 5,192,499,481
  5. Step 5: Solve for x
    x = 5,192,499,481/48,210
  6. Step 6: Final answer
    x = 107,705.86

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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.