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Finding the Third Proportional to 126,416 and 184,424

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Solution

The third proportional to 126,416 and 184,424 is: 269,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,416 : 184,424 = 184,424 : x
  2. Step 2: Convert to fraction form
    126,416/184,424 = 184,424/x
  3. Step 3: Cross multiply
    126,416x = 184,424 × 184,424
  4. Step 4: Simplify right side
    126,416x = 34,012,211,776
  5. Step 5: Solve for x
    x = 34,012,211,776/126,416
  6. Step 6: Final answer
    x = 269,049.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.