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Finding the Third Proportional to 53,292.94 and 114,650.44

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Solution

The third proportional to 53,292.94 and 114,650.44 is: 246,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,292.94 : 114,650.44 = 114,650.44 : x
  2. Step 2: Convert to fraction form
    53,292.94/114,650.44 = 114,650.44/x
  3. Step 3: Cross multiply
    53,292.94x = 114,650.44 × 114,650.44
  4. Step 4: Simplify right side
    53,292.94x = 13,144,722,818.94
  5. Step 5: Solve for x
    x = 13,144,722,818.94/53,292.94
  6. Step 6: Final answer
    x = 246,650.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.