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Finding the Third Proportional to 138,085 and 184,561

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Solution

The third proportional to 138,085 and 184,561 is: 246,679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,085 : 184,561 = 184,561 : x
  2. Step 2: Convert to fraction form
    138,085/184,561 = 184,561/x
  3. Step 3: Cross multiply
    138,085x = 184,561 × 184,561
  4. Step 4: Simplify right side
    138,085x = 34,062,762,721
  5. Step 5: Solve for x
    x = 34,062,762,721/138,085
  6. Step 6: Final answer
    x = 246,679.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.