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Finding the Third Proportional to 85,230 and 189,090

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Solution

The third proportional to 85,230 and 189,090 is: 419,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,230 : 189,090 = 189,090 : x
  2. Step 2: Convert to fraction form
    85,230/189,090 = 189,090/x
  3. Step 3: Cross multiply
    85,230x = 189,090 × 189,090
  4. Step 4: Simplify right side
    85,230x = 35,755,028,100
  5. Step 5: Solve for x
    x = 35,755,028,100/85,230
  6. Step 6: Final answer
    x = 419,512.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.