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Finding the Third Proportional to 56,285 and 120,103

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Solution

The third proportional to 56,285 and 120,103 is: 256,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,285 : 120,103 = 120,103 : x
  2. Step 2: Convert to fraction form
    56,285/120,103 = 120,103/x
  3. Step 3: Cross multiply
    56,285x = 120,103 × 120,103
  4. Step 4: Simplify right side
    56,285x = 14,424,730,609
  5. Step 5: Solve for x
    x = 14,424,730,609/56,285
  6. Step 6: Final answer
    x = 256,280.19

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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.