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Finding the Third Proportional to 85,028.06 and 122,914.34

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Solution

The third proportional to 85,028.06 and 122,914.34 is: 177,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,028.06 : 122,914.34 = 122,914.34 : x
  2. Step 2: Convert to fraction form
    85,028.06/122,914.34 = 122,914.34/x
  3. Step 3: Cross multiply
    85,028.06x = 122,914.34 × 122,914.34
  4. Step 4: Simplify right side
    85,028.06x = 15,107,933,978.96
  5. Step 5: Solve for x
    x = 15,107,933,978.96/85,028.06
  6. Step 6: Final answer
    x = 177,681.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.