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Finding the Third Proportional to 53,291.25 and 123,383.25

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Solution

The third proportional to 53,291.25 and 123,383.25 is: 285,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,291.25 : 123,383.25 = 123,383.25 : x
  2. Step 2: Convert to fraction form
    53,291.25/123,383.25 = 123,383.25/x
  3. Step 3: Cross multiply
    53,291.25x = 123,383.25 × 123,383.25
  4. Step 4: Simplify right side
    53,291.25x = 15,223,426,380.56
  5. Step 5: Solve for x
    x = 15,223,426,380.56/53,291.25
  6. Step 6: Final answer
    x = 285,664.65

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.