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Finding the Third Proportional to 75,462 and 164,028

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Solution

The third proportional to 75,462 and 164,028 is: 356,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,462 : 164,028 = 164,028 : x
  2. Step 2: Convert to fraction form
    75,462/164,028 = 164,028/x
  3. Step 3: Cross multiply
    75,462x = 164,028 × 164,028
  4. Step 4: Simplify right side
    75,462x = 26,905,184,784
  5. Step 5: Solve for x
    x = 26,905,184,784/75,462
  6. Step 6: Final answer
    x = 356,539.51

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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.