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Finding the Third Proportional to 67,826 and 98,655

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Solution

The third proportional to 67,826 and 98,655 is: 143,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,826 : 98,655 = 98,655 : x
  2. Step 2: Convert to fraction form
    67,826/98,655 = 98,655/x
  3. Step 3: Cross multiply
    67,826x = 98,655 × 98,655
  4. Step 4: Simplify right side
    67,826x = 9,732,809,025
  5. Step 5: Solve for x
    x = 9,732,809,025/67,826
  6. Step 6: Final answer
    x = 143,496.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.