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Finding the Third Proportional to 54,499.50 and 117,599

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Solution

The third proportional to 54,499.50 and 117,599 is: 253,755.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,499.50 : 117,599 = 117,599 : x
  2. Step 2: Convert to fraction form
    54,499.50/117,599 = 117,599/x
  3. Step 3: Cross multiply
    54,499.50x = 117,599 × 117,599
  4. Step 4: Simplify right side
    54,499.50x = 13,829,524,801
  5. Step 5: Solve for x
    x = 13,829,524,801/54,499.50
  6. Step 6: Final answer
    x = 253,755.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.