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Finding the Third Proportional to 52,282 and 113,690

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Solution

The third proportional to 52,282 and 113,690 is: 247,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,282 : 113,690 = 113,690 : x
  2. Step 2: Convert to fraction form
    52,282/113,690 = 113,690/x
  3. Step 3: Cross multiply
    52,282x = 113,690 × 113,690
  4. Step 4: Simplify right side
    52,282x = 12,925,416,100
  5. Step 5: Solve for x
    x = 12,925,416,100/52,282
  6. Step 6: Final answer
    x = 247,224.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.