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Finding the Third Proportional to 65,630 and 134,028

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Solution

The third proportional to 65,630 and 134,028 is: 273,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,630 : 134,028 = 134,028 : x
  2. Step 2: Convert to fraction form
    65,630/134,028 = 134,028/x
  3. Step 3: Cross multiply
    65,630x = 134,028 × 134,028
  4. Step 4: Simplify right side
    65,630x = 17,963,504,784
  5. Step 5: Solve for x
    x = 17,963,504,784/65,630
  6. Step 6: Final answer
    x = 273,708.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.