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Finding the Third Proportional to 52,596 and 109,073.25

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Solution

The third proportional to 52,596 and 109,073.25 is: 226,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,596 : 109,073.25 = 109,073.25 : x
  2. Step 2: Convert to fraction form
    52,596/109,073.25 = 109,073.25/x
  3. Step 3: Cross multiply
    52,596x = 109,073.25 × 109,073.25
  4. Step 4: Simplify right side
    52,596x = 11,896,973,865.56
  5. Step 5: Solve for x
    x = 11,896,973,865.56/52,596
  6. Step 6: Final answer
    x = 226,195.41

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.