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Finding the Third Proportional to 52,716.50 and 113,497

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Solution

The third proportional to 52,716.50 and 113,497 is: 244,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,716.50 : 113,497 = 113,497 : x
  2. Step 2: Convert to fraction form
    52,716.50/113,497 = 113,497/x
  3. Step 3: Cross multiply
    52,716.50x = 113,497 × 113,497
  4. Step 4: Simplify right side
    52,716.50x = 12,881,569,009
  5. Step 5: Solve for x
    x = 12,881,569,009/52,716.50
  6. Step 6: Final answer
    x = 244,355.54

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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.