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Finding the Third Proportional to 50,152 and 108,140

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Solution

The third proportional to 50,152 and 108,140 is: 233,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,152 : 108,140 = 108,140 : x
  2. Step 2: Convert to fraction form
    50,152/108,140 = 108,140/x
  3. Step 3: Cross multiply
    50,152x = 108,140 × 108,140
  4. Step 4: Simplify right side
    50,152x = 11,694,259,600
  5. Step 5: Solve for x
    x = 11,694,259,600/50,152
  6. Step 6: Final answer
    x = 233,176.34

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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.