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Finding the Third Proportional to 65,106 and 133,668

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Solution

The third proportional to 65,106 and 133,668 is: 274,431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,106 : 133,668 = 133,668 : x
  2. Step 2: Convert to fraction form
    65,106/133,668 = 133,668/x
  3. Step 3: Cross multiply
    65,106x = 133,668 × 133,668
  4. Step 4: Simplify right side
    65,106x = 17,867,134,224
  5. Step 5: Solve for x
    x = 17,867,134,224/65,106
  6. Step 6: Final answer
    x = 274,431.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.