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Finding the Third Proportional to 81,705.75 and 111,390.94

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Solution

The third proportional to 81,705.75 and 111,390.94 is: 151,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,705.75 : 111,390.94 = 111,390.94 : x
  2. Step 2: Convert to fraction form
    81,705.75/111,390.94 = 111,390.94/x
  3. Step 3: Cross multiply
    81,705.75x = 111,390.94 × 111,390.94
  4. Step 4: Simplify right side
    81,705.75x = 12,407,940,957.13
  5. Step 5: Solve for x
    x = 12,407,940,957.13/81,705.75
  6. Step 6: Final answer
    x = 151,861.29

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.