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Finding the Third Proportional to 53,295.75 and 113,976.75

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Solution

The third proportional to 53,295.75 and 113,976.75 is: 243,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,295.75 : 113,976.75 = 113,976.75 : x
  2. Step 2: Convert to fraction form
    53,295.75/113,976.75 = 113,976.75/x
  3. Step 3: Cross multiply
    53,295.75x = 113,976.75 × 113,976.75
  4. Step 4: Simplify right side
    53,295.75x = 12,990,699,540.56
  5. Step 5: Solve for x
    x = 12,990,699,540.56/53,295.75
  6. Step 6: Final answer
    x = 243,747.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.