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Finding the Third Proportional to 81,028.38 and 122,660.50

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Solution

The third proportional to 81,028.38 and 122,660.50 is: 185,683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,028.38 : 122,660.50 = 122,660.50 : x
  2. Step 2: Convert to fraction form
    81,028.38/122,660.50 = 122,660.50/x
  3. Step 3: Cross multiply
    81,028.38x = 122,660.50 × 122,660.50
  4. Step 4: Simplify right side
    81,028.38x = 15,045,598,260.25
  5. Step 5: Solve for x
    x = 15,045,598,260.25/81,028.38
  6. Step 6: Final answer
    x = 185,683.08

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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.