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Finding the Third Proportional to 34,197 and 77,176

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Solution

The third proportional to 34,197 and 77,176 is: 174,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,197 : 77,176 = 77,176 : x
  2. Step 2: Convert to fraction form
    34,197/77,176 = 77,176/x
  3. Step 3: Cross multiply
    34,197x = 77,176 × 77,176
  4. Step 4: Simplify right side
    34,197x = 5,956,134,976
  5. Step 5: Solve for x
    x = 5,956,134,976/34,197
  6. Step 6: Final answer
    x = 174,171.27

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.