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Finding the Third Proportional to 54,832 and 117,434

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Solution

The third proportional to 54,832 and 117,434 is: 251,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,832 : 117,434 = 117,434 : x
  2. Step 2: Convert to fraction form
    54,832/117,434 = 117,434/x
  3. Step 3: Cross multiply
    54,832x = 117,434 × 117,434
  4. Step 4: Simplify right side
    54,832x = 13,790,744,356
  5. Step 5: Solve for x
    x = 13,790,744,356/54,832
  6. Step 6: Final answer
    x = 251,509.05

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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.