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Finding the Third Proportional to 51,991.88 and 74,294.72

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Solution

The third proportional to 51,991.88 and 74,294.72 is: 106,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,991.88 : 74,294.72 = 74,294.72 : x
  2. Step 2: Convert to fraction form
    51,991.88/74,294.72 = 74,294.72/x
  3. Step 3: Cross multiply
    51,991.88x = 74,294.72 × 74,294.72
  4. Step 4: Simplify right side
    51,991.88x = 5,519,705,234.14
  5. Step 5: Solve for x
    x = 5,519,705,234.14/51,991.88
  6. Step 6: Final answer
    x = 106,164.77

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.