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Finding the Third Proportional to 71,244 and 150,534

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Solution

The third proportional to 71,244 and 150,534 is: 318,068.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,244 : 150,534 = 150,534 : x
  2. Step 2: Convert to fraction form
    71,244/150,534 = 150,534/x
  3. Step 3: Cross multiply
    71,244x = 150,534 × 150,534
  4. Step 4: Simplify right side
    71,244x = 22,660,485,156
  5. Step 5: Solve for x
    x = 22,660,485,156/71,244
  6. Step 6: Final answer
    x = 318,068.68

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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.