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Finding the Third Proportional to 55,959 and 120,201

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Solution

The third proportional to 55,959 and 120,201 is: 258,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,959 : 120,201 = 120,201 : x
  2. Step 2: Convert to fraction form
    55,959/120,201 = 120,201/x
  3. Step 3: Cross multiply
    55,959x = 120,201 × 120,201
  4. Step 4: Simplify right side
    55,959x = 14,448,280,401
  5. Step 5: Solve for x
    x = 14,448,280,401/55,959
  6. Step 6: Final answer
    x = 258,194.04

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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.