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Finding the Third Proportional to 67,361 and 141,820

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Solution

The third proportional to 67,361 and 141,820 is: 298,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,361 : 141,820 = 141,820 : x
  2. Step 2: Convert to fraction form
    67,361/141,820 = 141,820/x
  3. Step 3: Cross multiply
    67,361x = 141,820 × 141,820
  4. Step 4: Simplify right side
    67,361x = 20,112,912,400
  5. Step 5: Solve for x
    x = 20,112,912,400/67,361
  6. Step 6: Final answer
    x = 298,583.93

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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.