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Finding the Third Proportional to 56,620 and 119,986

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Solution

The third proportional to 56,620 and 119,986 is: 254,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,620 : 119,986 = 119,986 : x
  2. Step 2: Convert to fraction form
    56,620/119,986 = 119,986/x
  3. Step 3: Cross multiply
    56,620x = 119,986 × 119,986
  4. Step 4: Simplify right side
    56,620x = 14,396,640,196
  5. Step 5: Solve for x
    x = 14,396,640,196/56,620
  6. Step 6: Final answer
    x = 254,267.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.