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Finding the Third Proportional to 56,425 and 120,626

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Solution

The third proportional to 56,425 and 120,626 is: 257,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,425 : 120,626 = 120,626 : x
  2. Step 2: Convert to fraction form
    56,425/120,626 = 120,626/x
  3. Step 3: Cross multiply
    56,425x = 120,626 × 120,626
  4. Step 4: Simplify right side
    56,425x = 14,550,631,876
  5. Step 5: Solve for x
    x = 14,550,631,876/56,425
  6. Step 6: Final answer
    x = 257,875.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.