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Finding the Third Proportional to 51,651.75 and 108,532.13

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Solution

The third proportional to 51,651.75 and 108,532.13 is: 228,050.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,651.75 : 108,532.13 = 108,532.13 : x
  2. Step 2: Convert to fraction form
    51,651.75/108,532.13 = 108,532.13/x
  3. Step 3: Cross multiply
    51,651.75x = 108,532.13 × 108,532.13
  4. Step 4: Simplify right side
    51,651.75x = 11,779,222,157.02
  5. Step 5: Solve for x
    x = 11,779,222,157.02/51,651.75
  6. Step 6: Final answer
    x = 228,050.79

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.