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Finding the Third Proportional to 76,712 and 164,086

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Solution

The third proportional to 76,712 and 164,086 is: 350,977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,712 : 164,086 = 164,086 : x
  2. Step 2: Convert to fraction form
    76,712/164,086 = 164,086/x
  3. Step 3: Cross multiply
    76,712x = 164,086 × 164,086
  4. Step 4: Simplify right side
    76,712x = 26,924,215,396
  5. Step 5: Solve for x
    x = 26,924,215,396/76,712
  6. Step 6: Final answer
    x = 350,977.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.