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Finding the Third Proportional to 85,824 and 189,100

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Solution

The third proportional to 85,824 and 189,100 is: 416,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,824 : 189,100 = 189,100 : x
  2. Step 2: Convert to fraction form
    85,824/189,100 = 189,100/x
  3. Step 3: Cross multiply
    85,824x = 189,100 × 189,100
  4. Step 4: Simplify right side
    85,824x = 35,758,810,000
  5. Step 5: Solve for x
    x = 35,758,810,000/85,824
  6. Step 6: Final answer
    x = 416,652.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.