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Finding the Third Proportional to 27,474.19 and 74,118.80

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Solution

The third proportional to 27,474.19 and 74,118.80 is: 199,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,474.19 : 74,118.80 = 74,118.80 : x
  2. Step 2: Convert to fraction form
    27,474.19/74,118.80 = 74,118.80/x
  3. Step 3: Cross multiply
    27,474.19x = 74,118.80 × 74,118.80
  4. Step 4: Simplify right side
    27,474.19x = 5,493,596,050.20
  5. Step 5: Solve for x
    x = 5,493,596,050.20/27,474.19
  6. Step 6: Final answer
    x = 199,954.81

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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.