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Finding the Third Proportional to 51,935 and 84,796

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Solution

The third proportional to 51,935 and 84,796 is: 138,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,935 : 84,796 = 84,796 : x
  2. Step 2: Convert to fraction form
    51,935/84,796 = 84,796/x
  3. Step 3: Cross multiply
    51,935x = 84,796 × 84,796
  4. Step 4: Simplify right side
    51,935x = 7,190,361,616
  5. Step 5: Solve for x
    x = 7,190,361,616/51,935
  6. Step 6: Final answer
    x = 138,449.25

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.