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Finding the Third Proportional to 75,740 and 164,016

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Solution

The third proportional to 75,740 and 164,016 is: 355,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,740 : 164,016 = 164,016 : x
  2. Step 2: Convert to fraction form
    75,740/164,016 = 164,016/x
  3. Step 3: Cross multiply
    75,740x = 164,016 × 164,016
  4. Step 4: Simplify right side
    75,740x = 26,901,248,256
  5. Step 5: Solve for x
    x = 26,901,248,256/75,740
  6. Step 6: Final answer
    x = 355,178.88

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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.