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Finding the Third Proportional to 52,764 and 112,448.25

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Solution

The third proportional to 52,764 and 112,448.25 is: 239,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,764 : 112,448.25 = 112,448.25 : x
  2. Step 2: Convert to fraction form
    52,764/112,448.25 = 112,448.25/x
  3. Step 3: Cross multiply
    52,764x = 112,448.25 × 112,448.25
  4. Step 4: Simplify right side
    52,764x = 12,644,608,928.06
  5. Step 5: Solve for x
    x = 12,644,608,928.06/52,764
  6. Step 6: Final answer
    x = 239,644.62

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.