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Finding the Third Proportional to 80,775 and 115,623.75

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Solution

The third proportional to 80,775 and 115,623.75 is: 165,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,775 : 115,623.75 = 115,623.75 : x
  2. Step 2: Convert to fraction form
    80,775/115,623.75 = 115,623.75/x
  3. Step 3: Cross multiply
    80,775x = 115,623.75 × 115,623.75
  4. Step 4: Simplify right side
    80,775x = 13,368,851,564.06
  5. Step 5: Solve for x
    x = 13,368,851,564.06/80,775
  6. Step 6: Final answer
    x = 165,507.29

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.