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Finding the Third Proportional to 64,976 and 99,204

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Solution

The third proportional to 64,976 and 99,204 is: 151,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,976 : 99,204 = 99,204 : x
  2. Step 2: Convert to fraction form
    64,976/99,204 = 99,204/x
  3. Step 3: Cross multiply
    64,976x = 99,204 × 99,204
  4. Step 4: Simplify right side
    64,976x = 9,841,433,616
  5. Step 5: Solve for x
    x = 9,841,433,616/64,976
  6. Step 6: Final answer
    x = 151,462.60

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