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Finding the Third Proportional to 75,635 and 159,010

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Solution

The third proportional to 75,635 and 159,010 is: 334,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,635 : 159,010 = 159,010 : x
  2. Step 2: Convert to fraction form
    75,635/159,010 = 159,010/x
  3. Step 3: Cross multiply
    75,635x = 159,010 × 159,010
  4. Step 4: Simplify right side
    75,635x = 25,284,180,100
  5. Step 5: Solve for x
    x = 25,284,180,100/75,635
  6. Step 6: Final answer
    x = 334,292.06

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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.