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Finding the Third Proportional to 62,304 and 134,568

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Solution

The third proportional to 62,304 and 134,568 is: 290,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,304 : 134,568 = 134,568 : x
  2. Step 2: Convert to fraction form
    62,304/134,568 = 134,568/x
  3. Step 3: Cross multiply
    62,304x = 134,568 × 134,568
  4. Step 4: Simplify right side
    62,304x = 18,108,546,624
  5. Step 5: Solve for x
    x = 18,108,546,624/62,304
  6. Step 6: Final answer
    x = 290,648.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.