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Finding the Third Proportional to 51,143.91 and 74,118.80

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Solution

The third proportional to 51,143.91 and 74,118.80 is: 107,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,143.91 : 74,118.80 = 74,118.80 : x
  2. Step 2: Convert to fraction form
    51,143.91/74,118.80 = 74,118.80/x
  3. Step 3: Cross multiply
    51,143.91x = 74,118.80 × 74,118.80
  4. Step 4: Simplify right side
    51,143.91x = 5,493,596,050.20
  5. Step 5: Solve for x
    x = 5,493,596,050.20/51,143.91
  6. Step 6: Final answer
    x = 107,414.48

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.