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Finding the Third Proportional to 56,050 and 80,611

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Solution

The third proportional to 56,050 and 80,611 is: 115,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,050 : 80,611 = 80,611 : x
  2. Step 2: Convert to fraction form
    56,050/80,611 = 80,611/x
  3. Step 3: Cross multiply
    56,050x = 80,611 × 80,611
  4. Step 4: Simplify right side
    56,050x = 6,498,133,321
  5. Step 5: Solve for x
    x = 6,498,133,321/56,050
  6. Step 6: Final answer
    x = 115,934.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.