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Finding the Third Proportional to 64,478 and 98,625

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Solution

The third proportional to 64,478 and 98,625 is: 150,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,478 : 98,625 = 98,625 : x
  2. Step 2: Convert to fraction form
    64,478/98,625 = 98,625/x
  3. Step 3: Cross multiply
    64,478x = 98,625 × 98,625
  4. Step 4: Simplify right side
    64,478x = 9,726,890,625
  5. Step 5: Solve for x
    x = 9,726,890,625/64,478
  6. Step 6: Final answer
    x = 150,855.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.