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Finding the Third Proportional to 81,198 and 121,675.50

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Solution

The third proportional to 81,198 and 121,675.50 is: 182,331.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,198 : 121,675.50 = 121,675.50 : x
  2. Step 2: Convert to fraction form
    81,198/121,675.50 = 121,675.50/x
  3. Step 3: Cross multiply
    81,198x = 121,675.50 × 121,675.50
  4. Step 4: Simplify right side
    81,198x = 14,804,927,300.25
  5. Step 5: Solve for x
    x = 14,804,927,300.25/81,198
  6. Step 6: Final answer
    x = 182,331.18

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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.