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Finding the Third Proportional to 65,048 and 133,168

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Solution

The third proportional to 65,048 and 133,168 is: 272,625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,048 : 133,168 = 133,168 : x
  2. Step 2: Convert to fraction form
    65,048/133,168 = 133,168/x
  3. Step 3: Cross multiply
    65,048x = 133,168 × 133,168
  4. Step 4: Simplify right side
    65,048x = 17,733,716,224
  5. Step 5: Solve for x
    x = 17,733,716,224/65,048
  6. Step 6: Final answer
    x = 272,625.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.