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Finding the Third Proportional to 75,360 and 159,120

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Solution

The third proportional to 75,360 and 159,120 is: 335,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,360 : 159,120 = 159,120 : x
  2. Step 2: Convert to fraction form
    75,360/159,120 = 159,120/x
  3. Step 3: Cross multiply
    75,360x = 159,120 × 159,120
  4. Step 4: Simplify right side
    75,360x = 25,319,174,400
  5. Step 5: Solve for x
    x = 25,319,174,400/75,360
  6. Step 6: Final answer
    x = 335,976.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.