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Finding the Third Proportional to 53,949 and 117,732

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Solution

The third proportional to 53,949 and 117,732 is: 256,924.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,949 : 117,732 = 117,732 : x
  2. Step 2: Convert to fraction form
    53,949/117,732 = 117,732/x
  3. Step 3: Cross multiply
    53,949x = 117,732 × 117,732
  4. Step 4: Simplify right side
    53,949x = 13,860,823,824
  5. Step 5: Solve for x
    x = 13,860,823,824/53,949
  6. Step 6: Final answer
    x = 256,924.57

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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.