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Finding the Third Proportional to 53,786 and 118,188

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Solution

The third proportional to 53,786 and 118,188 is: 259,703.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,786 : 118,188 = 118,188 : x
  2. Step 2: Convert to fraction form
    53,786/118,188 = 118,188/x
  3. Step 3: Cross multiply
    53,786x = 118,188 × 118,188
  4. Step 4: Simplify right side
    53,786x = 13,968,403,344
  5. Step 5: Solve for x
    x = 13,968,403,344/53,786
  6. Step 6: Final answer
    x = 259,703.33

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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.