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Finding the Third Proportional to 64,824 and 134,148

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Solution

The third proportional to 64,824 and 134,148 is: 277,608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,824 : 134,148 = 134,148 : x
  2. Step 2: Convert to fraction form
    64,824/134,148 = 134,148/x
  3. Step 3: Cross multiply
    64,824x = 134,148 × 134,148
  4. Step 4: Simplify right side
    64,824x = 17,995,685,904
  5. Step 5: Solve for x
    x = 17,995,685,904/64,824
  6. Step 6: Final answer
    x = 277,608.38

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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.