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Finding the Third Proportional to 58,401 and 120,950

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Solution

The third proportional to 58,401 and 120,950 is: 250,490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,401 : 120,950 = 120,950 : x
  2. Step 2: Convert to fraction form
    58,401/120,950 = 120,950/x
  3. Step 3: Cross multiply
    58,401x = 120,950 × 120,950
  4. Step 4: Simplify right side
    58,401x = 14,628,902,500
  5. Step 5: Solve for x
    x = 14,628,902,500/58,401
  6. Step 6: Final answer
    x = 250,490.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.