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Finding the Third Proportional to 53,883 and 117,091.50

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Solution

The third proportional to 53,883 and 117,091.50 is: 254,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,883 : 117,091.50 = 117,091.50 : x
  2. Step 2: Convert to fraction form
    53,883/117,091.50 = 117,091.50/x
  3. Step 3: Cross multiply
    53,883x = 117,091.50 × 117,091.50
  4. Step 4: Simplify right side
    53,883x = 13,710,419,372.25
  5. Step 5: Solve for x
    x = 13,710,419,372.25/53,883
  6. Step 6: Final answer
    x = 254,447.96

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