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Finding the Third Proportional to 76,476 and 164,676

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Solution

The third proportional to 76,476 and 164,676 is: 354,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,476 : 164,676 = 164,676 : x
  2. Step 2: Convert to fraction form
    76,476/164,676 = 164,676/x
  3. Step 3: Cross multiply
    76,476x = 164,676 × 164,676
  4. Step 4: Simplify right side
    76,476x = 27,118,184,976
  5. Step 5: Solve for x
    x = 27,118,184,976/76,476
  6. Step 6: Final answer
    x = 354,597.32

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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.