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Finding the Third Proportional to 64,848 and 143,304

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Solution

The third proportional to 64,848 and 143,304 is: 316,679.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,848 : 143,304 = 143,304 : x
  2. Step 2: Convert to fraction form
    64,848/143,304 = 143,304/x
  3. Step 3: Cross multiply
    64,848x = 143,304 × 143,304
  4. Step 4: Simplify right side
    64,848x = 20,536,036,416
  5. Step 5: Solve for x
    x = 20,536,036,416/64,848
  6. Step 6: Final answer
    x = 316,679.56

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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.