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Finding the Third Proportional to 134,082 and 184,698

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Solution

The third proportional to 134,082 and 184,698 is: 254,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,082 : 184,698 = 184,698 : x
  2. Step 2: Convert to fraction form
    134,082/184,698 = 184,698/x
  3. Step 3: Cross multiply
    134,082x = 184,698 × 184,698
  4. Step 4: Simplify right side
    134,082x = 34,113,351,204
  5. Step 5: Solve for x
    x = 34,113,351,204/134,082
  6. Step 6: Final answer
    x = 254,421.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.