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Finding the Third Proportional to 75,654 and 164,400

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Solution

The third proportional to 75,654 and 164,400 is: 357,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,654 : 164,400 = 164,400 : x
  2. Step 2: Convert to fraction form
    75,654/164,400 = 164,400/x
  3. Step 3: Cross multiply
    75,654x = 164,400 × 164,400
  4. Step 4: Simplify right side
    75,654x = 27,027,360,000
  5. Step 5: Solve for x
    x = 27,027,360,000/75,654
  6. Step 6: Final answer
    x = 357,249.58

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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.