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Finding the Third Proportional to 67,837 and 147,349

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Solution

The third proportional to 67,837 and 147,349 is: 320,057.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,837 : 147,349 = 147,349 : x
  2. Step 2: Convert to fraction form
    67,837/147,349 = 147,349/x
  3. Step 3: Cross multiply
    67,837x = 147,349 × 147,349
  4. Step 4: Simplify right side
    67,837x = 21,711,727,801
  5. Step 5: Solve for x
    x = 21,711,727,801/67,837
  6. Step 6: Final answer
    x = 320,057.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.