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Finding the Third Proportional to 64,832 and 143,272

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Solution

The third proportional to 64,832 and 143,272 is: 316,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,832 : 143,272 = 143,272 : x
  2. Step 2: Convert to fraction form
    64,832/143,272 = 143,272/x
  3. Step 3: Cross multiply
    64,832x = 143,272 × 143,272
  4. Step 4: Simplify right side
    64,832x = 20,526,865,984
  5. Step 5: Solve for x
    x = 20,526,865,984/64,832
  6. Step 6: Final answer
    x = 316,616.27

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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.