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Finding the Third Proportional to 55,656 and 120,760

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Solution

The third proportional to 55,656 and 120,760 is: 262,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,656 : 120,760 = 120,760 : x
  2. Step 2: Convert to fraction form
    55,656/120,760 = 120,760/x
  3. Step 3: Cross multiply
    55,656x = 120,760 × 120,760
  4. Step 4: Simplify right side
    55,656x = 14,582,977,600
  5. Step 5: Solve for x
    x = 14,582,977,600/55,656
  6. Step 6: Final answer
    x = 262,019.86

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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.