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Finding the Third Proportional to 75,908 and 161,672

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Solution

The third proportional to 75,908 and 161,672 is: 344,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,908 : 161,672 = 161,672 : x
  2. Step 2: Convert to fraction form
    75,908/161,672 = 161,672/x
  3. Step 3: Cross multiply
    75,908x = 161,672 × 161,672
  4. Step 4: Simplify right side
    75,908x = 26,137,835,584
  5. Step 5: Solve for x
    x = 26,137,835,584/75,908
  6. Step 6: Final answer
    x = 344,335.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.