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Finding the Third Proportional to 67,462 and 159,178

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Solution

The third proportional to 67,462 and 159,178 is: 375,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,462 : 159,178 = 159,178 : x
  2. Step 2: Convert to fraction form
    67,462/159,178 = 159,178/x
  3. Step 3: Cross multiply
    67,462x = 159,178 × 159,178
  4. Step 4: Simplify right side
    67,462x = 25,337,635,684
  5. Step 5: Solve for x
    x = 25,337,635,684/67,462
  6. Step 6: Final answer
    x = 375,583.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.