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Finding the Third Proportional to 75,894 and 166,308

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Solution

The third proportional to 75,894 and 166,308 is: 364,433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,894 : 166,308 = 166,308 : x
  2. Step 2: Convert to fraction form
    75,894/166,308 = 166,308/x
  3. Step 3: Cross multiply
    75,894x = 166,308 × 166,308
  4. Step 4: Simplify right side
    75,894x = 27,658,350,864
  5. Step 5: Solve for x
    x = 27,658,350,864/75,894
  6. Step 6: Final answer
    x = 364,433.96

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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.