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Finding the Third Proportional to 81,555 and 119,185.50

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Solution

The third proportional to 81,555 and 119,185.50 is: 174,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,555 : 119,185.50 = 119,185.50 : x
  2. Step 2: Convert to fraction form
    81,555/119,185.50 = 119,185.50/x
  3. Step 3: Cross multiply
    81,555x = 119,185.50 × 119,185.50
  4. Step 4: Simplify right side
    81,555x = 14,205,183,410.25
  5. Step 5: Solve for x
    x = 14,205,183,410.25/81,555
  6. Step 6: Final answer
    x = 174,179.18

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.