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Finding the Third Proportional to 55,692 and 120,600

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Solution

The third proportional to 55,692 and 120,600 is: 261,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,692 : 120,600 = 120,600 : x
  2. Step 2: Convert to fraction form
    55,692/120,600 = 120,600/x
  3. Step 3: Cross multiply
    55,692x = 120,600 × 120,600
  4. Step 4: Simplify right side
    55,692x = 14,544,360,000
  5. Step 5: Solve for x
    x = 14,544,360,000/55,692
  6. Step 6: Final answer
    x = 261,157.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.