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Finding the Third Proportional to 72,234 and 108,153

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Solution

The third proportional to 72,234 and 108,153 is: 161,933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,234 : 108,153 = 108,153 : x
  2. Step 2: Convert to fraction form
    72,234/108,153 = 108,153/x
  3. Step 3: Cross multiply
    72,234x = 108,153 × 108,153
  4. Step 4: Simplify right side
    72,234x = 11,697,071,409
  5. Step 5: Solve for x
    x = 11,697,071,409/72,234
  6. Step 6: Final answer
    x = 161,933.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.