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Finding the Third Proportional to 65,673 and 146,655

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Solution

The third proportional to 65,673 and 146,655 is: 327,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,673 : 146,655 = 146,655 : x
  2. Step 2: Convert to fraction form
    65,673/146,655 = 146,655/x
  3. Step 3: Cross multiply
    65,673x = 146,655 × 146,655
  4. Step 4: Simplify right side
    65,673x = 21,507,689,025
  5. Step 5: Solve for x
    x = 21,507,689,025/65,673
  6. Step 6: Final answer
    x = 327,496.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.