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Finding the Third Proportional to 75,238 and 161,815

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Solution

The third proportional to 75,238 and 161,815 is: 348,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,238 : 161,815 = 161,815 : x
  2. Step 2: Convert to fraction form
    75,238/161,815 = 161,815/x
  3. Step 3: Cross multiply
    75,238x = 161,815 × 161,815
  4. Step 4: Simplify right side
    75,238x = 26,184,094,225
  5. Step 5: Solve for x
    x = 26,184,094,225/75,238
  6. Step 6: Final answer
    x = 348,016.88

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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.