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Finding the Third Proportional to 65,450 and 136,732

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Solution

The third proportional to 65,450 and 136,732 is: 285,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,450 : 136,732 = 136,732 : x
  2. Step 2: Convert to fraction form
    65,450/136,732 = 136,732/x
  3. Step 3: Cross multiply
    65,450x = 136,732 × 136,732
  4. Step 4: Simplify right side
    65,450x = 18,695,639,824
  5. Step 5: Solve for x
    x = 18,695,639,824/65,450
  6. Step 6: Final answer
    x = 285,647.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.