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Finding the Third Proportional to 56,025 and 120,546

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Solution

The third proportional to 56,025 and 120,546 is: 259,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,025 : 120,546 = 120,546 : x
  2. Step 2: Convert to fraction form
    56,025/120,546 = 120,546/x
  3. Step 3: Cross multiply
    56,025x = 120,546 × 120,546
  4. Step 4: Simplify right side
    56,025x = 14,531,338,116
  5. Step 5: Solve for x
    x = 14,531,338,116/56,025
  6. Step 6: Final answer
    x = 259,372.39

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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.