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Finding the Third Proportional to 74,671 and 161,229

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Solution

The third proportional to 74,671 and 161,229 is: 348,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,671 : 161,229 = 161,229 : x
  2. Step 2: Convert to fraction form
    74,671/161,229 = 161,229/x
  3. Step 3: Cross multiply
    74,671x = 161,229 × 161,229
  4. Step 4: Simplify right side
    74,671x = 25,994,790,441
  5. Step 5: Solve for x
    x = 25,994,790,441/74,671
  6. Step 6: Final answer
    x = 348,124.31

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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.