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Finding the Third Proportional to 56,000 and 120,914

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Solution

The third proportional to 56,000 and 120,914 is: 261,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,000 : 120,914 = 120,914 : x
  2. Step 2: Convert to fraction form
    56,000/120,914 = 120,914/x
  3. Step 3: Cross multiply
    56,000x = 120,914 × 120,914
  4. Step 4: Simplify right side
    56,000x = 14,620,195,396
  5. Step 5: Solve for x
    x = 14,620,195,396/56,000
  6. Step 6: Final answer
    x = 261,074.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.