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Finding the Third Proportional to 65,826 and 140,400

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Solution

The third proportional to 65,826 and 140,400 is: 299,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,826 : 140,400 = 140,400 : x
  2. Step 2: Convert to fraction form
    65,826/140,400 = 140,400/x
  3. Step 3: Cross multiply
    65,826x = 140,400 × 140,400
  4. Step 4: Simplify right side
    65,826x = 19,712,160,000
  5. Step 5: Solve for x
    x = 19,712,160,000/65,826
  6. Step 6: Final answer
    x = 299,458.57

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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.