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Finding the Third Proportional to 78,973 and 150,668

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Solution

The third proportional to 78,973 and 150,668 is: 287,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,973 : 150,668 = 150,668 : x
  2. Step 2: Convert to fraction form
    78,973/150,668 = 150,668/x
  3. Step 3: Cross multiply
    78,973x = 150,668 × 150,668
  4. Step 4: Simplify right side
    78,973x = 22,700,846,224
  5. Step 5: Solve for x
    x = 22,700,846,224/78,973
  6. Step 6: Final answer
    x = 287,450.73

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.