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Finding the Third Proportional to 50,302 and 108,510

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Solution

The third proportional to 50,302 and 108,510 is: 234,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,302 : 108,510 = 108,510 : x
  2. Step 2: Convert to fraction form
    50,302/108,510 = 108,510/x
  3. Step 3: Cross multiply
    50,302x = 108,510 × 108,510
  4. Step 4: Simplify right side
    50,302x = 11,774,420,100
  5. Step 5: Solve for x
    x = 11,774,420,100/50,302
  6. Step 6: Final answer
    x = 234,074.59

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