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Finding the Third Proportional to 53,005.75 and 115,213.75

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Solution

The third proportional to 53,005.75 and 115,213.75 is: 250,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,005.75 : 115,213.75 = 115,213.75 : x
  2. Step 2: Convert to fraction form
    53,005.75/115,213.75 = 115,213.75/x
  3. Step 3: Cross multiply
    53,005.75x = 115,213.75 × 115,213.75
  4. Step 4: Simplify right side
    53,005.75x = 13,274,208,189.06
  5. Step 5: Solve for x
    x = 13,274,208,189.06/53,005.75
  6. Step 6: Final answer
    x = 250,429.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.