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Finding the Third Proportional to 52,011 and 113,526

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Solution

The third proportional to 52,011 and 113,526 is: 247,796.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,011 : 113,526 = 113,526 : x
  2. Step 2: Convert to fraction form
    52,011/113,526 = 113,526/x
  3. Step 3: Cross multiply
    52,011x = 113,526 × 113,526
  4. Step 4: Simplify right side
    52,011x = 12,888,152,676
  5. Step 5: Solve for x
    x = 12,888,152,676/52,011
  6. Step 6: Final answer
    x = 247,796.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.