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Finding the Third Proportional to 52,794 and 109,942.50

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Solution

The third proportional to 52,794 and 109,942.50 is: 228,953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,794 : 109,942.50 = 109,942.50 : x
  2. Step 2: Convert to fraction form
    52,794/109,942.50 = 109,942.50/x
  3. Step 3: Cross multiply
    52,794x = 109,942.50 × 109,942.50
  4. Step 4: Simplify right side
    52,794x = 12,087,353,306.25
  5. Step 5: Solve for x
    x = 12,087,353,306.25/52,794
  6. Step 6: Final answer
    x = 228,953.16

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.