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Finding the Third Proportional to 64,404 and 140,262

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Solution

The third proportional to 64,404 and 140,262 is: 305,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,404 : 140,262 = 140,262 : x
  2. Step 2: Convert to fraction form
    64,404/140,262 = 140,262/x
  3. Step 3: Cross multiply
    64,404x = 140,262 × 140,262
  4. Step 4: Simplify right side
    64,404x = 19,673,428,644
  5. Step 5: Solve for x
    x = 19,673,428,644/64,404
  6. Step 6: Final answer
    x = 305,469.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.