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Finding the Third Proportional to 131,906 and 184,515

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Solution

The third proportional to 131,906 and 184,515 is: 258,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,906 : 184,515 = 184,515 : x
  2. Step 2: Convert to fraction form
    131,906/184,515 = 184,515/x
  3. Step 3: Cross multiply
    131,906x = 184,515 × 184,515
  4. Step 4: Simplify right side
    131,906x = 34,045,785,225
  5. Step 5: Solve for x
    x = 34,045,785,225/131,906
  6. Step 6: Final answer
    x = 258,106.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.