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Finding the Third Proportional to 75,048 and 163,104

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Solution

The third proportional to 75,048 and 163,104 is: 354,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,048 : 163,104 = 163,104 : x
  2. Step 2: Convert to fraction form
    75,048/163,104 = 163,104/x
  3. Step 3: Cross multiply
    75,048x = 163,104 × 163,104
  4. Step 4: Simplify right side
    75,048x = 26,602,914,816
  5. Step 5: Solve for x
    x = 26,602,914,816/75,048
  6. Step 6: Final answer
    x = 354,478.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.