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Finding the Third Proportional to 76,404 and 164,094

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Solution

The third proportional to 76,404 and 164,094 is: 352,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,404 : 164,094 = 164,094 : x
  2. Step 2: Convert to fraction form
    76,404/164,094 = 164,094/x
  3. Step 3: Cross multiply
    76,404x = 164,094 × 164,094
  4. Step 4: Simplify right side
    76,404x = 26,926,840,836
  5. Step 5: Solve for x
    x = 26,926,840,836/76,404
  6. Step 6: Final answer
    x = 352,427.11

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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.