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Finding the Third Proportional to 53,968.50 and 110,081.25

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Solution

The third proportional to 53,968.50 and 110,081.25 is: 224,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,968.50 : 110,081.25 = 110,081.25 : x
  2. Step 2: Convert to fraction form
    53,968.50/110,081.25 = 110,081.25/x
  3. Step 3: Cross multiply
    53,968.50x = 110,081.25 × 110,081.25
  4. Step 4: Simplify right side
    53,968.50x = 12,117,881,601.56
  5. Step 5: Solve for x
    x = 12,117,881,601.56/53,968.50
  6. Step 6: Final answer
    x = 224,536.19

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.