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Finding the Third Proportional to 75,284 and 158,920

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Solution

The third proportional to 75,284 and 158,920 is: 335,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,284 : 158,920 = 158,920 : x
  2. Step 2: Convert to fraction form
    75,284/158,920 = 158,920/x
  3. Step 3: Cross multiply
    75,284x = 158,920 × 158,920
  4. Step 4: Simplify right side
    75,284x = 25,255,566,400
  5. Step 5: Solve for x
    x = 25,255,566,400/75,284
  6. Step 6: Final answer
    x = 335,470.57

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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.