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Finding the Third Proportional to 52,759.50 and 122,034

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Solution

The third proportional to 52,759.50 and 122,034 is: 282,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,759.50 : 122,034 = 122,034 : x
  2. Step 2: Convert to fraction form
    52,759.50/122,034 = 122,034/x
  3. Step 3: Cross multiply
    52,759.50x = 122,034 × 122,034
  4. Step 4: Simplify right side
    52,759.50x = 14,892,297,156
  5. Step 5: Solve for x
    x = 14,892,297,156/52,759.50
  6. Step 6: Final answer
    x = 282,267.59

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.