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Finding the Third Proportional to 56,280 and 120,093

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Solution

The third proportional to 56,280 and 120,093 is: 256,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,280 : 120,093 = 120,093 : x
  2. Step 2: Convert to fraction form
    56,280/120,093 = 120,093/x
  3. Step 3: Cross multiply
    56,280x = 120,093 × 120,093
  4. Step 4: Simplify right side
    56,280x = 14,422,328,649
  5. Step 5: Solve for x
    x = 14,422,328,649/56,280
  6. Step 6: Final answer
    x = 256,260.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.