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Finding the Third Proportional to 53,883.56 and 117,093.94

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Solution

The third proportional to 53,883.56 and 117,093.94 is: 254,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,883.56 : 117,093.94 = 117,093.94 : x
  2. Step 2: Convert to fraction form
    53,883.56/117,093.94 = 117,093.94/x
  3. Step 3: Cross multiply
    53,883.56x = 117,093.94 × 117,093.94
  4. Step 4: Simplify right side
    53,883.56x = 13,710,990,199.25
  5. Step 5: Solve for x
    x = 13,710,990,199.25/53,883.56
  6. Step 6: Final answer
    x = 254,455.90

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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.