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Finding the Third Proportional to 75,251 and 161,991

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Solution

The third proportional to 75,251 and 161,991 is: 348,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,251 : 161,991 = 161,991 : x
  2. Step 2: Convert to fraction form
    75,251/161,991 = 161,991/x
  3. Step 3: Cross multiply
    75,251x = 161,991 × 161,991
  4. Step 4: Simplify right side
    75,251x = 26,241,084,081
  5. Step 5: Solve for x
    x = 26,241,084,081/75,251
  6. Step 6: Final answer
    x = 348,714.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.