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Finding the Third Proportional to 75,235 and 161,950

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Solution

The third proportional to 75,235 and 161,950 is: 348,611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,235 : 161,950 = 161,950 : x
  2. Step 2: Convert to fraction form
    75,235/161,950 = 161,950/x
  3. Step 3: Cross multiply
    75,235x = 161,950 × 161,950
  4. Step 4: Simplify right side
    75,235x = 26,227,802,500
  5. Step 5: Solve for x
    x = 26,227,802,500/75,235
  6. Step 6: Final answer
    x = 348,611.72

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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.