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Finding the Third Proportional to 52,772 and 111,012

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Solution

The third proportional to 52,772 and 111,012 is: 233,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,772 : 111,012 = 111,012 : x
  2. Step 2: Convert to fraction form
    52,772/111,012 = 111,012/x
  3. Step 3: Cross multiply
    52,772x = 111,012 × 111,012
  4. Step 4: Simplify right side
    52,772x = 12,323,664,144
  5. Step 5: Solve for x
    x = 12,323,664,144/52,772
  6. Step 6: Final answer
    x = 233,526.57

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.