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Finding the Third Proportional to 86,256 and 129,024

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Solution

The third proportional to 86,256 and 129,024 is: 192,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,256 : 129,024 = 129,024 : x
  2. Step 2: Convert to fraction form
    86,256/129,024 = 129,024/x
  3. Step 3: Cross multiply
    86,256x = 129,024 × 129,024
  4. Step 4: Simplify right side
    86,256x = 16,647,192,576
  5. Step 5: Solve for x
    x = 16,647,192,576/86,256
  6. Step 6: Final answer
    x = 192,997.50

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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.