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Finding the Third Proportional to 55,848 and 120,442

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Solution

The third proportional to 55,848 and 120,442 is: 259,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,848 : 120,442 = 120,442 : x
  2. Step 2: Convert to fraction form
    55,848/120,442 = 120,442/x
  3. Step 3: Cross multiply
    55,848x = 120,442 × 120,442
  4. Step 4: Simplify right side
    55,848x = 14,506,275,364
  5. Step 5: Solve for x
    x = 14,506,275,364/55,848
  6. Step 6: Final answer
    x = 259,745.66

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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.