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Finding the Third Proportional to 50,442 and 108,582

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Solution

The third proportional to 50,442 and 108,582 is: 233,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,442 : 108,582 = 108,582 : x
  2. Step 2: Convert to fraction form
    50,442/108,582 = 108,582/x
  3. Step 3: Cross multiply
    50,442x = 108,582 × 108,582
  4. Step 4: Simplify right side
    50,442x = 11,790,050,724
  5. Step 5: Solve for x
    x = 11,790,050,724/50,442
  6. Step 6: Final answer
    x = 233,734.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.