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Finding the Third Proportional to 52,400 and 113,140

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Solution

The third proportional to 52,400 and 113,140 is: 244,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,400 : 113,140 = 113,140 : x
  2. Step 2: Convert to fraction form
    52,400/113,140 = 113,140/x
  3. Step 3: Cross multiply
    52,400x = 113,140 × 113,140
  4. Step 4: Simplify right side
    52,400x = 12,800,659,600
  5. Step 5: Solve for x
    x = 12,800,659,600/52,400
  6. Step 6: Final answer
    x = 244,287.40

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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.