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Finding the Third Proportional to 70,353 and 143,571

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Solution

The third proportional to 70,353 and 143,571 is: 292,988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,353 : 143,571 = 143,571 : x
  2. Step 2: Convert to fraction form
    70,353/143,571 = 143,571/x
  3. Step 3: Cross multiply
    70,353x = 143,571 × 143,571
  4. Step 4: Simplify right side
    70,353x = 20,612,632,041
  5. Step 5: Solve for x
    x = 20,612,632,041/70,353
  6. Step 6: Final answer
    x = 292,988.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.