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Finding the Third Proportional to 64,512 and 142,848

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Solution

The third proportional to 64,512 and 142,848 is: 316,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,512 : 142,848 = 142,848 : x
  2. Step 2: Convert to fraction form
    64,512/142,848 = 142,848/x
  3. Step 3: Cross multiply
    64,512x = 142,848 × 142,848
  4. Step 4: Simplify right side
    64,512x = 20,405,551,104
  5. Step 5: Solve for x
    x = 20,405,551,104/64,512
  6. Step 6: Final answer
    x = 316,306.29

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Why These Related Problems?

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