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Finding the Third Proportional to 62,435 and 134,845

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Solution

The third proportional to 62,435 and 134,845 is: 291,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,435 : 134,845 = 134,845 : x
  2. Step 2: Convert to fraction form
    62,435/134,845 = 134,845/x
  3. Step 3: Cross multiply
    62,435x = 134,845 × 134,845
  4. Step 4: Simplify right side
    62,435x = 18,183,174,025
  5. Step 5: Solve for x
    x = 18,183,174,025/62,435
  6. Step 6: Final answer
    x = 291,233.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.