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Finding the Third Proportional to 74,660 and 161,197

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Solution

The third proportional to 74,660 and 161,197 is: 348,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,660 : 161,197 = 161,197 : x
  2. Step 2: Convert to fraction form
    74,660/161,197 = 161,197/x
  3. Step 3: Cross multiply
    74,660x = 161,197 × 161,197
  4. Step 4: Simplify right side
    74,660x = 25,984,472,809
  5. Step 5: Solve for x
    x = 25,984,472,809/74,660
  6. Step 6: Final answer
    x = 348,037.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.