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Finding the Third Proportional to 103,304 and 159,512

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Solution

The third proportional to 103,304 and 159,512 is: 246,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,304 : 159,512 = 159,512 : x
  2. Step 2: Convert to fraction form
    103,304/159,512 = 159,512/x
  3. Step 3: Cross multiply
    103,304x = 159,512 × 159,512
  4. Step 4: Simplify right side
    103,304x = 25,444,078,144
  5. Step 5: Solve for x
    x = 25,444,078,144/103,304
  6. Step 6: Final answer
    x = 246,302.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.