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Finding the Third Proportional to 53,896 and 118,384

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Solution

The third proportional to 53,896 and 118,384 is: 260,033.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,896 : 118,384 = 118,384 : x
  2. Step 2: Convert to fraction form
    53,896/118,384 = 118,384/x
  3. Step 3: Cross multiply
    53,896x = 118,384 × 118,384
  4. Step 4: Simplify right side
    53,896x = 14,014,771,456
  5. Step 5: Solve for x
    x = 14,014,771,456/53,896
  6. Step 6: Final answer
    x = 260,033.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.