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Finding the Third Proportional to 122,994 and 184,871

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Solution

The third proportional to 122,994 and 184,871 is: 277,877.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,994 : 184,871 = 184,871 : x
  2. Step 2: Convert to fraction form
    122,994/184,871 = 184,871/x
  3. Step 3: Cross multiply
    122,994x = 184,871 × 184,871
  4. Step 4: Simplify right side
    122,994x = 34,177,286,641
  5. Step 5: Solve for x
    x = 34,177,286,641/122,994
  6. Step 6: Final answer
    x = 277,877.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.