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Finding the Third Proportional to 68,274 and 141,998

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Solution

The third proportional to 68,274 and 141,998 is: 295,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,274 : 141,998 = 141,998 : x
  2. Step 2: Convert to fraction form
    68,274/141,998 = 141,998/x
  3. Step 3: Cross multiply
    68,274x = 141,998 × 141,998
  4. Step 4: Simplify right side
    68,274x = 20,163,432,004
  5. Step 5: Solve for x
    x = 20,163,432,004/68,274
  6. Step 6: Final answer
    x = 295,331.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.