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Finding the Third Proportional to 75,494 and 164,092

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Solution

The third proportional to 75,494 and 164,092 is: 356,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,494 : 164,092 = 164,092 : x
  2. Step 2: Convert to fraction form
    75,494/164,092 = 164,092/x
  3. Step 3: Cross multiply
    75,494x = 164,092 × 164,092
  4. Step 4: Simplify right side
    75,494x = 26,926,184,464
  5. Step 5: Solve for x
    x = 26,926,184,464/75,494
  6. Step 6: Final answer
    x = 356,666.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.