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Finding the Third Proportional to 52,721.25 and 80,648.25

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Solution

The third proportional to 52,721.25 and 80,648.25 is: 123,368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,721.25 : 80,648.25 = 80,648.25 : x
  2. Step 2: Convert to fraction form
    52,721.25/80,648.25 = 80,648.25/x
  3. Step 3: Cross multiply
    52,721.25x = 80,648.25 × 80,648.25
  4. Step 4: Simplify right side
    52,721.25x = 6,504,140,228.06
  5. Step 5: Solve for x
    x = 6,504,140,228.06/52,721.25
  6. Step 6: Final answer
    x = 123,368.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.