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Finding the Third Proportional to 64,723.64 and 133,940.67

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Solution

The third proportional to 64,723.64 and 133,940.67 is: 277,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,723.64 : 133,940.67 = 133,940.67 : x
  2. Step 2: Convert to fraction form
    64,723.64/133,940.67 = 133,940.67/x
  3. Step 3: Cross multiply
    64,723.64x = 133,940.67 × 133,940.67
  4. Step 4: Simplify right side
    64,723.64x = 17,940,103,582.33
  5. Step 5: Solve for x
    x = 17,940,103,582.33/64,723.64
  6. Step 6: Final answer
    x = 277,180.08

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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.