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Finding the Third Proportional to 74,048 and 161,240

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Solution

The third proportional to 74,048 and 161,240 is: 351,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,048 : 161,240 = 161,240 : x
  2. Step 2: Convert to fraction form
    74,048/161,240 = 161,240/x
  3. Step 3: Cross multiply
    74,048x = 161,240 × 161,240
  4. Step 4: Simplify right side
    74,048x = 25,998,337,600
  5. Step 5: Solve for x
    x = 25,998,337,600/74,048
  6. Step 6: Final answer
    x = 351,101.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.