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Finding the Third Proportional to 54,312 and 116,796

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Solution

The third proportional to 54,312 and 116,796 is: 251,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,312 : 116,796 = 116,796 : x
  2. Step 2: Convert to fraction form
    54,312/116,796 = 116,796/x
  3. Step 3: Cross multiply
    54,312x = 116,796 × 116,796
  4. Step 4: Simplify right side
    54,312x = 13,641,305,616
  5. Step 5: Solve for x
    x = 13,641,305,616/54,312
  6. Step 6: Final answer
    x = 251,165.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.