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Finding the Third Proportional to 53,888 and 117,103

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Solution

The third proportional to 53,888 and 117,103 is: 254,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,888 : 117,103 = 117,103 : x
  2. Step 2: Convert to fraction form
    53,888/117,103 = 117,103/x
  3. Step 3: Cross multiply
    53,888x = 117,103 × 117,103
  4. Step 4: Simplify right side
    53,888x = 13,713,112,609
  5. Step 5: Solve for x
    x = 13,713,112,609/53,888
  6. Step 6: Final answer
    x = 254,474.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.