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Finding the Third Proportional to 76,122 and 108,195

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Solution

The third proportional to 76,122 and 108,195 is: 153,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,122 : 108,195 = 108,195 : x
  2. Step 2: Convert to fraction form
    76,122/108,195 = 108,195/x
  3. Step 3: Cross multiply
    76,122x = 108,195 × 108,195
  4. Step 4: Simplify right side
    76,122x = 11,706,158,025
  5. Step 5: Solve for x
    x = 11,706,158,025/76,122
  6. Step 6: Final answer
    x = 153,781.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.