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Finding the Third Proportional to 42,048 and 65,104

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Solution

The third proportional to 42,048 and 65,104 is: 100,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,048 : 65,104 = 65,104 : x
  2. Step 2: Convert to fraction form
    42,048/65,104 = 65,104/x
  3. Step 3: Cross multiply
    42,048x = 65,104 × 65,104
  4. Step 4: Simplify right side
    42,048x = 4,238,530,816
  5. Step 5: Solve for x
    x = 4,238,530,816/42,048
  6. Step 6: Final answer
    x = 100,802.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.