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Finding the Third Proportional to 72,773.44 and 111,104.16

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Solution

The third proportional to 72,773.44 and 111,104.16 is: 169,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,773.44 : 111,104.16 = 111,104.16 : x
  2. Step 2: Convert to fraction form
    72,773.44/111,104.16 = 111,104.16/x
  3. Step 3: Cross multiply
    72,773.44x = 111,104.16 × 111,104.16
  4. Step 4: Simplify right side
    72,773.44x = 12,344,133,536.02
  5. Step 5: Solve for x
    x = 12,344,133,536.02/72,773.44
  6. Step 6: Final answer
    x = 169,624.16

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.