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Finding the Third Proportional to 53,284.50 and 109,039.50

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Solution

The third proportional to 53,284.50 and 109,039.50 is: 223,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,284.50 : 109,039.50 = 109,039.50 : x
  2. Step 2: Convert to fraction form
    53,284.50/109,039.50 = 109,039.50/x
  3. Step 3: Cross multiply
    53,284.50x = 109,039.50 × 109,039.50
  4. Step 4: Simplify right side
    53,284.50x = 11,889,612,560.25
  5. Step 5: Solve for x
    x = 11,889,612,560.25/53,284.50
  6. Step 6: Final answer
    x = 223,134.54

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.