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Finding the Third Proportional to 60,398 and 128,104

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Solution

The third proportional to 60,398 and 128,104 is: 271,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,398 : 128,104 = 128,104 : x
  2. Step 2: Convert to fraction form
    60,398/128,104 = 128,104/x
  3. Step 3: Cross multiply
    60,398x = 128,104 × 128,104
  4. Step 4: Simplify right side
    60,398x = 16,410,634,816
  5. Step 5: Solve for x
    x = 16,410,634,816/60,398
  6. Step 6: Final answer
    x = 271,708.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.