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Finding the Third Proportional to 65,422 and 100,698

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Solution

The third proportional to 65,422 and 100,698 is: 154,995.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,422 : 100,698 = 100,698 : x
  2. Step 2: Convert to fraction form
    65,422/100,698 = 100,698/x
  3. Step 3: Cross multiply
    65,422x = 100,698 × 100,698
  4. Step 4: Simplify right side
    65,422x = 10,140,087,204
  5. Step 5: Solve for x
    x = 10,140,087,204/65,422
  6. Step 6: Final answer
    x = 154,995.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.