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Finding the Third Proportional to 86,016 and 189,024

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Solution

The third proportional to 86,016 and 189,024 is: 415,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,016 : 189,024 = 189,024 : x
  2. Step 2: Convert to fraction form
    86,016/189,024 = 189,024/x
  3. Step 3: Cross multiply
    86,016x = 189,024 × 189,024
  4. Step 4: Simplify right side
    86,016x = 35,730,072,576
  5. Step 5: Solve for x
    x = 35,730,072,576/86,016
  6. Step 6: Final answer
    x = 415,388.68

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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.