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Finding the Third Proportional to 67,796 and 140,308

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Solution

The third proportional to 67,796 and 140,308 is: 290,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,796 : 140,308 = 140,308 : x
  2. Step 2: Convert to fraction form
    67,796/140,308 = 140,308/x
  3. Step 3: Cross multiply
    67,796x = 140,308 × 140,308
  4. Step 4: Simplify right side
    67,796x = 19,686,334,864
  5. Step 5: Solve for x
    x = 19,686,334,864/67,796
  6. Step 6: Final answer
    x = 290,376.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.