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Finding the Third Proportional to 76,692 and 164,045

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Solution

The third proportional to 76,692 and 164,045 is: 350,893.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,692 : 164,045 = 164,045 : x
  2. Step 2: Convert to fraction form
    76,692/164,045 = 164,045/x
  3. Step 3: Cross multiply
    76,692x = 164,045 × 164,045
  4. Step 4: Simplify right side
    76,692x = 26,910,762,025
  5. Step 5: Solve for x
    x = 26,910,762,025/76,692
  6. Step 6: Final answer
    x = 350,893.99

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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.