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Finding the Third Proportional to 75,941 and 166,178

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Solution

The third proportional to 75,941 and 166,178 is: 363,639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,941 : 166,178 = 166,178 : x
  2. Step 2: Convert to fraction form
    75,941/166,178 = 166,178/x
  3. Step 3: Cross multiply
    75,941x = 166,178 × 166,178
  4. Step 4: Simplify right side
    75,941x = 27,615,127,684
  5. Step 5: Solve for x
    x = 27,615,127,684/75,941
  6. Step 6: Final answer
    x = 363,639.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.