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Finding the Third Proportional to 33,247 and 78,229

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Solution

The third proportional to 33,247 and 78,229 is: 184,070.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,247 : 78,229 = 78,229 : x
  2. Step 2: Convert to fraction form
    33,247/78,229 = 78,229/x
  3. Step 3: Cross multiply
    33,247x = 78,229 × 78,229
  4. Step 4: Simplify right side
    33,247x = 6,119,776,441
  5. Step 5: Solve for x
    x = 6,119,776,441/33,247
  6. Step 6: Final answer
    x = 184,070.03

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.