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Finding the Third Proportional to 106,546.50 and 161,763.75

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Solution

The third proportional to 106,546.50 and 161,763.75 is: 245,597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,546.50 : 161,763.75 = 161,763.75 : x
  2. Step 2: Convert to fraction form
    106,546.50/161,763.75 = 161,763.75/x
  3. Step 3: Cross multiply
    106,546.50x = 161,763.75 × 161,763.75
  4. Step 4: Simplify right side
    106,546.50x = 26,167,510,814.06
  5. Step 5: Solve for x
    x = 26,167,510,814.06/106,546.50
  6. Step 6: Final answer
    x = 245,597.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.