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Finding the Third Proportional to 115,748.25 and 153,623.25

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Solution

The third proportional to 115,748.25 and 153,623.25 is: 203,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,748.25 : 153,623.25 = 153,623.25 : x
  2. Step 2: Convert to fraction form
    115,748.25/153,623.25 = 153,623.25/x
  3. Step 3: Cross multiply
    115,748.25x = 153,623.25 × 153,623.25
  4. Step 4: Simplify right side
    115,748.25x = 23,600,102,940.56
  5. Step 5: Solve for x
    x = 23,600,102,940.56/115,748.25
  6. Step 6: Final answer
    x = 203,891.66

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.