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Finding the Third Proportional to 56,976 and 114,024

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Solution

The third proportional to 56,976 and 114,024 is: 228,192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,976 : 114,024 = 114,024 : x
  2. Step 2: Convert to fraction form
    56,976/114,024 = 114,024/x
  3. Step 3: Cross multiply
    56,976x = 114,024 × 114,024
  4. Step 4: Simplify right side
    56,976x = 13,001,472,576
  5. Step 5: Solve for x
    x = 13,001,472,576/56,976
  6. Step 6: Final answer
    x = 228,192.09

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.