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Finding the Third Proportional to 72,298 and 108,063

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Solution

The third proportional to 72,298 and 108,063 is: 161,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,298 : 108,063 = 108,063 : x
  2. Step 2: Convert to fraction form
    72,298/108,063 = 108,063/x
  3. Step 3: Cross multiply
    72,298x = 108,063 × 108,063
  4. Step 4: Simplify right side
    72,298x = 11,677,611,969
  5. Step 5: Solve for x
    x = 11,677,611,969/72,298
  6. Step 6: Final answer
    x = 161,520.54

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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.