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Finding the Third Proportional to 50,308 and 108,584

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Solution

The third proportional to 50,308 and 108,584 is: 234,366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,308 : 108,584 = 108,584 : x
  2. Step 2: Convert to fraction form
    50,308/108,584 = 108,584/x
  3. Step 3: Cross multiply
    50,308x = 108,584 × 108,584
  4. Step 4: Simplify right side
    50,308x = 11,790,485,056
  5. Step 5: Solve for x
    x = 11,790,485,056/50,308
  6. Step 6: Final answer
    x = 234,366.01

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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.