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Finding the Third Proportional to 76,686 and 164,033

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Solution

The third proportional to 76,686 and 164,033 is: 350,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,686 : 164,033 = 164,033 : x
  2. Step 2: Convert to fraction form
    76,686/164,033 = 164,033/x
  3. Step 3: Cross multiply
    76,686x = 164,033 × 164,033
  4. Step 4: Simplify right side
    76,686x = 26,906,825,089
  5. Step 5: Solve for x
    x = 26,906,825,089/76,686
  6. Step 6: Final answer
    x = 350,870.11

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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.