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Finding the Third Proportional to 106,016 and 159,024

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Solution

The third proportional to 106,016 and 159,024 is: 238,536

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,016 : 159,024 = 159,024 : x
  2. Step 2: Convert to fraction form
    106,016/159,024 = 159,024/x
  3. Step 3: Cross multiply
    106,016x = 159,024 × 159,024
  4. Step 4: Simplify right side
    106,016x = 25,288,632,576
  5. Step 5: Solve for x
    x = 25,288,632,576/106,016
  6. Step 6: Final answer
    x = 238,536

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.