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Finding the Third Proportional to 52,741.97 and 107,442.28

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Solution

The third proportional to 52,741.97 and 107,442.28 is: 218,873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,741.97 : 107,442.28 = 107,442.28 : x
  2. Step 2: Convert to fraction form
    52,741.97/107,442.28 = 107,442.28/x
  3. Step 3: Cross multiply
    52,741.97x = 107,442.28 × 107,442.28
  4. Step 4: Simplify right side
    52,741.97x = 11,543,843,800.20
  5. Step 5: Solve for x
    x = 11,543,843,800.20/52,741.97
  6. Step 6: Final answer
    x = 218,873.96

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Why These Related Problems?

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