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Finding the Third Proportional to 81,903.50 and 123,431.50

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Solution

The third proportional to 81,903.50 and 123,431.50 is: 186,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,903.50 : 123,431.50 = 123,431.50 : x
  2. Step 2: Convert to fraction form
    81,903.50/123,431.50 = 123,431.50/x
  3. Step 3: Cross multiply
    81,903.50x = 123,431.50 × 123,431.50
  4. Step 4: Simplify right side
    81,903.50x = 15,235,335,192.25
  5. Step 5: Solve for x
    x = 15,235,335,192.25/81,903.50
  6. Step 6: Final answer
    x = 186,015.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.