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Finding the Third Proportional to 56,874 and 120,304

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Solution

The third proportional to 56,874 and 120,304 is: 254,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,874 : 120,304 = 120,304 : x
  2. Step 2: Convert to fraction form
    56,874/120,304 = 120,304/x
  3. Step 3: Cross multiply
    56,874x = 120,304 × 120,304
  4. Step 4: Simplify right side
    56,874x = 14,473,052,416
  5. Step 5: Solve for x
    x = 14,473,052,416/56,874
  6. Step 6: Final answer
    x = 254,475.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.