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Finding the Third Proportional to 77,576 and 158,416

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Solution

The third proportional to 77,576 and 158,416 is: 323,497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,576 : 158,416 = 158,416 : x
  2. Step 2: Convert to fraction form
    77,576/158,416 = 158,416/x
  3. Step 3: Cross multiply
    77,576x = 158,416 × 158,416
  4. Step 4: Simplify right side
    77,576x = 25,095,629,056
  5. Step 5: Solve for x
    x = 25,095,629,056/77,576
  6. Step 6: Final answer
    x = 323,497.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.