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Finding the Third Proportional to 64,670 and 142,936

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Solution

The third proportional to 64,670 and 142,936 is: 315,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,670 : 142,936 = 142,936 : x
  2. Step 2: Convert to fraction form
    64,670/142,936 = 142,936/x
  3. Step 3: Cross multiply
    64,670x = 142,936 × 142,936
  4. Step 4: Simplify right side
    64,670x = 20,430,700,096
  5. Step 5: Solve for x
    x = 20,430,700,096/64,670
  6. Step 6: Final answer
    x = 315,922.38

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.