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Finding the Third Proportional to 55,024 and 117,872

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Solution

The third proportional to 55,024 and 117,872 is: 252,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,024 : 117,872 = 117,872 : x
  2. Step 2: Convert to fraction form
    55,024/117,872 = 117,872/x
  3. Step 3: Cross multiply
    55,024x = 117,872 × 117,872
  4. Step 4: Simplify right side
    55,024x = 13,893,808,384
  5. Step 5: Solve for x
    x = 13,893,808,384/55,024
  6. Step 6: Final answer
    x = 252,504.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.