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Finding the Third Proportional to 53,173 and 107,896

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Solution

The third proportional to 53,173 and 107,896 is: 218,937.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,173 : 107,896 = 107,896 : x
  2. Step 2: Convert to fraction form
    53,173/107,896 = 107,896/x
  3. Step 3: Cross multiply
    53,173x = 107,896 × 107,896
  4. Step 4: Simplify right side
    53,173x = 11,641,546,816
  5. Step 5: Solve for x
    x = 11,641,546,816/53,173
  6. Step 6: Final answer
    x = 218,937.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.