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Finding the Third Proportional to 56,450 and 120,682

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Solution

The third proportional to 56,450 and 120,682 is: 258,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,450 : 120,682 = 120,682 : x
  2. Step 2: Convert to fraction form
    56,450/120,682 = 120,682/x
  3. Step 3: Cross multiply
    56,450x = 120,682 × 120,682
  4. Step 4: Simplify right side
    56,450x = 14,564,145,124
  5. Step 5: Solve for x
    x = 14,564,145,124/56,450
  6. Step 6: Final answer
    x = 258,000.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.