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Finding the Third Proportional to 52,406.44 and 113,111.72

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Solution

The third proportional to 52,406.44 and 113,111.72 is: 244,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,406.44 : 113,111.72 = 113,111.72 : x
  2. Step 2: Convert to fraction form
    52,406.44/113,111.72 = 113,111.72/x
  3. Step 3: Cross multiply
    52,406.44x = 113,111.72 × 113,111.72
  4. Step 4: Simplify right side
    52,406.44x = 12,794,260,918.58
  5. Step 5: Solve for x
    x = 12,794,260,918.58/52,406.44
  6. Step 6: Final answer
    x = 244,135.29

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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.