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Finding the Third Proportional to 64,216 and 98,825

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Solution

The third proportional to 64,216 and 98,825 is: 152,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,216 : 98,825 = 98,825 : x
  2. Step 2: Convert to fraction form
    64,216/98,825 = 98,825/x
  3. Step 3: Cross multiply
    64,216x = 98,825 × 98,825
  4. Step 4: Simplify right side
    64,216x = 9,766,380,625
  5. Step 5: Solve for x
    x = 9,766,380,625/64,216
  6. Step 6: Final answer
    x = 152,086.41

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Why These Related Problems?

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