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Finding the Third Proportional to 76,168 and 164,000

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Solution

The third proportional to 76,168 and 164,000 is: 353,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,168 : 164,000 = 164,000 : x
  2. Step 2: Convert to fraction form
    76,168/164,000 = 164,000/x
  3. Step 3: Cross multiply
    76,168x = 164,000 × 164,000
  4. Step 4: Simplify right side
    76,168x = 26,896,000,000
  5. Step 5: Solve for x
    x = 26,896,000,000/76,168
  6. Step 6: Final answer
    x = 353,114.17

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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.