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Finding the Third Proportional to 53,888 and 117,800

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Solution

The third proportional to 53,888 and 117,800 is: 257,512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,888 : 117,800 = 117,800 : x
  2. Step 2: Convert to fraction form
    53,888/117,800 = 117,800/x
  3. Step 3: Cross multiply
    53,888x = 117,800 × 117,800
  4. Step 4: Simplify right side
    53,888x = 13,876,840,000
  5. Step 5: Solve for x
    x = 13,876,840,000/53,888
  6. Step 6: Final answer
    x = 257,512.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.