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Finding the Third Proportional to 38,216 and 79,336

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Solution

The third proportional to 38,216 and 79,336 is: 164,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,216 : 79,336 = 79,336 : x
  2. Step 2: Convert to fraction form
    38,216/79,336 = 79,336/x
  3. Step 3: Cross multiply
    38,216x = 79,336 × 79,336
  4. Step 4: Simplify right side
    38,216x = 6,294,200,896
  5. Step 5: Solve for x
    x = 6,294,200,896/38,216
  6. Step 6: Final answer
    x = 164,700.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.