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Finding the Third Proportional to 53,957 and 117,795

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Solution

The third proportional to 53,957 and 117,795 is: 257,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,957 : 117,795 = 117,795 : x
  2. Step 2: Convert to fraction form
    53,957/117,795 = 117,795/x
  3. Step 3: Cross multiply
    53,957x = 117,795 × 117,795
  4. Step 4: Simplify right side
    53,957x = 13,875,662,025
  5. Step 5: Solve for x
    x = 13,875,662,025/53,957
  6. Step 6: Final answer
    x = 257,161.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.