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Finding the Third Proportional to 81,660.75 and 128,323.50

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Solution

The third proportional to 81,660.75 and 128,323.50 is: 201,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,660.75 : 128,323.50 = 128,323.50 : x
  2. Step 2: Convert to fraction form
    81,660.75/128,323.50 = 128,323.50/x
  3. Step 3: Cross multiply
    81,660.75x = 128,323.50 × 128,323.50
  4. Step 4: Simplify right side
    81,660.75x = 16,466,920,652.25
  5. Step 5: Solve for x
    x = 16,466,920,652.25/81,660.75
  6. Step 6: Final answer
    x = 201,650.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.