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Finding the Third Proportional to 53,941 and 110,024

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Solution

The third proportional to 53,941 and 110,024 is: 224,417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,941 : 110,024 = 110,024 : x
  2. Step 2: Convert to fraction form
    53,941/110,024 = 110,024/x
  3. Step 3: Cross multiply
    53,941x = 110,024 × 110,024
  4. Step 4: Simplify right side
    53,941x = 12,105,280,576
  5. Step 5: Solve for x
    x = 12,105,280,576/53,941
  6. Step 6: Final answer
    x = 224,417.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.