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Finding the Third Proportional to 60,733 and 128,068

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Solution

The third proportional to 60,733 and 128,068 is: 270,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,733 : 128,068 = 128,068 : x
  2. Step 2: Convert to fraction form
    60,733/128,068 = 128,068/x
  3. Step 3: Cross multiply
    60,733x = 128,068 × 128,068
  4. Step 4: Simplify right side
    60,733x = 16,401,412,624
  5. Step 5: Solve for x
    x = 16,401,412,624/60,733
  6. Step 6: Final answer
    x = 270,057.67

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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.