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Finding the Third Proportional to 56,282 and 120,844

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Solution

The third proportional to 56,282 and 120,844 is: 259,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,282 : 120,844 = 120,844 : x
  2. Step 2: Convert to fraction form
    56,282/120,844 = 120,844/x
  3. Step 3: Cross multiply
    56,282x = 120,844 × 120,844
  4. Step 4: Simplify right side
    56,282x = 14,603,272,336
  5. Step 5: Solve for x
    x = 14,603,272,336/56,282
  6. Step 6: Final answer
    x = 259,466.12

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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.