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Finding the Third Proportional to 50,170 and 117,526

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Solution

The third proportional to 50,170 and 117,526 is: 275,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,170 : 117,526 = 117,526 : x
  2. Step 2: Convert to fraction form
    50,170/117,526 = 117,526/x
  3. Step 3: Cross multiply
    50,170x = 117,526 × 117,526
  4. Step 4: Simplify right side
    50,170x = 13,812,360,676
  5. Step 5: Solve for x
    x = 13,812,360,676/50,170
  6. Step 6: Final answer
    x = 275,311.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.