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Finding the Third Proportional to 55,734 and 120,000

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Solution

The third proportional to 55,734 and 120,000 is: 258,370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,734 : 120,000 = 120,000 : x
  2. Step 2: Convert to fraction form
    55,734/120,000 = 120,000/x
  3. Step 3: Cross multiply
    55,734x = 120,000 × 120,000
  4. Step 4: Simplify right side
    55,734x = 14,400,000,000
  5. Step 5: Solve for x
    x = 14,400,000,000/55,734
  6. Step 6: Final answer
    x = 258,370.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.