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Finding the Third Proportional to 76,956 and 164,118

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Solution

The third proportional to 76,956 and 164,118 is: 350,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,956 : 164,118 = 164,118 : x
  2. Step 2: Convert to fraction form
    76,956/164,118 = 164,118/x
  3. Step 3: Cross multiply
    76,956x = 164,118 × 164,118
  4. Step 4: Simplify right side
    76,956x = 26,934,717,924
  5. Step 5: Solve for x
    x = 26,934,717,924/76,956
  6. Step 6: Final answer
    x = 350,001.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.