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Finding the Third Proportional to 64,308 and 133,544

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Solution

The third proportional to 64,308 and 133,544 is: 277,321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,308 : 133,544 = 133,544 : x
  2. Step 2: Convert to fraction form
    64,308/133,544 = 133,544/x
  3. Step 3: Cross multiply
    64,308x = 133,544 × 133,544
  4. Step 4: Simplify right side
    64,308x = 17,833,999,936
  5. Step 5: Solve for x
    x = 17,833,999,936/64,308
  6. Step 6: Final answer
    x = 277,321.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.