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Finding the Third Proportional to 56,412 and 120,201

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Solution

The third proportional to 56,412 and 120,201 is: 256,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,412 : 120,201 = 120,201 : x
  2. Step 2: Convert to fraction form
    56,412/120,201 = 120,201/x
  3. Step 3: Cross multiply
    56,412x = 120,201 × 120,201
  4. Step 4: Simplify right side
    56,412x = 14,448,280,401
  5. Step 5: Solve for x
    x = 14,448,280,401/56,412
  6. Step 6: Final answer
    x = 256,120.69

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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.