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Finding the Third Proportional to 100,170 and 154,035

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Solution

The third proportional to 100,170 and 154,035 is: 236,865.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,170 : 154,035 = 154,035 : x
  2. Step 2: Convert to fraction form
    100,170/154,035 = 154,035/x
  3. Step 3: Cross multiply
    100,170x = 154,035 × 154,035
  4. Step 4: Simplify right side
    100,170x = 23,726,781,225
  5. Step 5: Solve for x
    x = 23,726,781,225/100,170
  6. Step 6: Final answer
    x = 236,865.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.