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Finding the Third Proportional to 53,682 and 107,358.75

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Solution

The third proportional to 53,682 and 107,358.75 is: 214,707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,682 : 107,358.75 = 107,358.75 : x
  2. Step 2: Convert to fraction form
    53,682/107,358.75 = 107,358.75/x
  3. Step 3: Cross multiply
    53,682x = 107,358.75 × 107,358.75
  4. Step 4: Simplify right side
    53,682x = 11,525,901,201.56
  5. Step 5: Solve for x
    x = 11,525,901,201.56/53,682
  6. Step 6: Final answer
    x = 214,707.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.