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Finding the Third Proportional to 64,802 and 134,098

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Solution

The third proportional to 64,802 and 134,098 is: 277,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,802 : 134,098 = 134,098 : x
  2. Step 2: Convert to fraction form
    64,802/134,098 = 134,098/x
  3. Step 3: Cross multiply
    64,802x = 134,098 × 134,098
  4. Step 4: Simplify right side
    64,802x = 17,982,273,604
  5. Step 5: Solve for x
    x = 17,982,273,604/64,802
  6. Step 6: Final answer
    x = 277,495.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.