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Finding the Third Proportional to 56,026 and 120,548

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Solution

The third proportional to 56,026 and 120,548 is: 259,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,026 : 120,548 = 120,548 : x
  2. Step 2: Convert to fraction form
    56,026/120,548 = 120,548/x
  3. Step 3: Cross multiply
    56,026x = 120,548 × 120,548
  4. Step 4: Simplify right side
    56,026x = 14,531,820,304
  5. Step 5: Solve for x
    x = 14,531,820,304/56,026
  6. Step 6: Final answer
    x = 259,376.37

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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.