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Finding the Third Proportional to 74,318 and 112,898

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Solution

The third proportional to 74,318 and 112,898 is: 171,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,318 : 112,898 = 112,898 : x
  2. Step 2: Convert to fraction form
    74,318/112,898 = 112,898/x
  3. Step 3: Cross multiply
    74,318x = 112,898 × 112,898
  4. Step 4: Simplify right side
    74,318x = 12,745,958,404
  5. Step 5: Solve for x
    x = 12,745,958,404/74,318
  6. Step 6: Final answer
    x = 171,505.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.