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Finding the Third Proportional to 71,312 and 150,668

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Solution

The third proportional to 71,312 and 150,668 is: 318,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,312 : 150,668 = 150,668 : x
  2. Step 2: Convert to fraction form
    71,312/150,668 = 150,668/x
  3. Step 3: Cross multiply
    71,312x = 150,668 × 150,668
  4. Step 4: Simplify right side
    71,312x = 22,700,846,224
  5. Step 5: Solve for x
    x = 22,700,846,224/71,312
  6. Step 6: Final answer
    x = 318,331.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.