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Finding the Third Proportional to 73,852 and 160,168

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Solution

The third proportional to 73,852 and 160,168 is: 347,367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,852 : 160,168 = 160,168 : x
  2. Step 2: Convert to fraction form
    73,852/160,168 = 160,168/x
  3. Step 3: Cross multiply
    73,852x = 160,168 × 160,168
  4. Step 4: Simplify right side
    73,852x = 25,653,788,224
  5. Step 5: Solve for x
    x = 25,653,788,224/73,852
  6. Step 6: Final answer
    x = 347,367.55

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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.