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Finding the Third Proportional to 64,094 and 137,668

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Solution

The third proportional to 64,094 and 137,668 is: 295,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,094 : 137,668 = 137,668 : x
  2. Step 2: Convert to fraction form
    64,094/137,668 = 137,668/x
  3. Step 3: Cross multiply
    64,094x = 137,668 × 137,668
  4. Step 4: Simplify right side
    64,094x = 18,952,478,224
  5. Step 5: Solve for x
    x = 18,952,478,224/64,094
  6. Step 6: Final answer
    x = 295,698.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.