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Finding the Third Proportional to 78,944 and 169,600

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Solution

The third proportional to 78,944 and 169,600 is: 364,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,944 : 169,600 = 169,600 : x
  2. Step 2: Convert to fraction form
    78,944/169,600 = 169,600/x
  3. Step 3: Cross multiply
    78,944x = 169,600 × 169,600
  4. Step 4: Simplify right side
    78,944x = 28,764,160,000
  5. Step 5: Solve for x
    x = 28,764,160,000/78,944
  6. Step 6: Final answer
    x = 364,361.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.