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Finding the Third Proportional to 71,274 and 150,594

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Solution

The third proportional to 71,274 and 150,594 is: 318,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,274 : 150,594 = 150,594 : x
  2. Step 2: Convert to fraction form
    71,274/150,594 = 150,594/x
  3. Step 3: Cross multiply
    71,274x = 150,594 × 150,594
  4. Step 4: Simplify right side
    71,274x = 22,678,552,836
  5. Step 5: Solve for x
    x = 22,678,552,836/71,274
  6. Step 6: Final answer
    x = 318,188.30

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