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Finding the Third Proportional to 55,800 and 120,452

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Solution

The third proportional to 55,800 and 120,452 is: 260,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,800 : 120,452 = 120,452 : x
  2. Step 2: Convert to fraction form
    55,800/120,452 = 120,452/x
  3. Step 3: Cross multiply
    55,800x = 120,452 × 120,452
  4. Step 4: Simplify right side
    55,800x = 14,508,684,304
  5. Step 5: Solve for x
    x = 14,508,684,304/55,800
  6. Step 6: Final answer
    x = 260,012.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.