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Finding the Third Proportional to 59,402 and 120,994

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Solution

The third proportional to 59,402 and 120,994 is: 246,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,402 : 120,994 = 120,994 : x
  2. Step 2: Convert to fraction form
    59,402/120,994 = 120,994/x
  3. Step 3: Cross multiply
    59,402x = 120,994 × 120,994
  4. Step 4: Simplify right side
    59,402x = 14,639,548,036
  5. Step 5: Solve for x
    x = 14,639,548,036/59,402
  6. Step 6: Final answer
    x = 246,448.74

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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.