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Finding the Third Proportional to 53,787 and 118,190

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Solution

The third proportional to 53,787 and 118,190 is: 259,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,787 : 118,190 = 118,190 : x
  2. Step 2: Convert to fraction form
    53,787/118,190 = 118,190/x
  3. Step 3: Cross multiply
    53,787x = 118,190 × 118,190
  4. Step 4: Simplify right side
    53,787x = 13,968,876,100
  5. Step 5: Solve for x
    x = 13,968,876,100/53,787
  6. Step 6: Final answer
    x = 259,707.29

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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.