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Finding the Third Proportional to 82,039 and 179,263

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Solution

The third proportional to 82,039 and 179,263 is: 391,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,039 : 179,263 = 179,263 : x
  2. Step 2: Convert to fraction form
    82,039/179,263 = 179,263/x
  3. Step 3: Cross multiply
    82,039x = 179,263 × 179,263
  4. Step 4: Simplify right side
    82,039x = 32,135,223,169
  5. Step 5: Solve for x
    x = 32,135,223,169/82,039
  6. Step 6: Final answer
    x = 391,706.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.