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Finding the Third Proportional to 75,631 and 159,002

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Solution

The third proportional to 75,631 and 159,002 is: 334,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,631 : 159,002 = 159,002 : x
  2. Step 2: Convert to fraction form
    75,631/159,002 = 159,002/x
  3. Step 3: Cross multiply
    75,631x = 159,002 × 159,002
  4. Step 4: Simplify right side
    75,631x = 25,281,636,004
  5. Step 5: Solve for x
    x = 25,281,636,004/75,631
  6. Step 6: Final answer
    x = 334,276.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.