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Finding the Third Proportional to 85,135.50 and 128,886.75

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Solution

The third proportional to 85,135.50 and 128,886.75 is: 195,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,135.50 : 128,886.75 = 128,886.75 : x
  2. Step 2: Convert to fraction form
    85,135.50/128,886.75 = 128,886.75/x
  3. Step 3: Cross multiply
    85,135.50x = 128,886.75 × 128,886.75
  4. Step 4: Simplify right side
    85,135.50x = 16,611,794,325.56
  5. Step 5: Solve for x
    x = 16,611,794,325.56/85,135.50
  6. Step 6: Final answer
    x = 195,121.83

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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.