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Finding the Third Proportional to 71,566 and 113,930

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Solution

The third proportional to 71,566 and 113,930 is: 181,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,566 : 113,930 = 113,930 : x
  2. Step 2: Convert to fraction form
    71,566/113,930 = 113,930/x
  3. Step 3: Cross multiply
    71,566x = 113,930 × 113,930
  4. Step 4: Simplify right side
    71,566x = 12,980,044,900
  5. Step 5: Solve for x
    x = 12,980,044,900/71,566
  6. Step 6: Final answer
    x = 181,371.67

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.