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Finding the Third Proportional to 106,672.50 and 143,133.75

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Solution

The third proportional to 106,672.50 and 143,133.75 is: 192,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,672.50 : 143,133.75 = 143,133.75 : x
  2. Step 2: Convert to fraction form
    106,672.50/143,133.75 = 143,133.75/x
  3. Step 3: Cross multiply
    106,672.50x = 143,133.75 × 143,133.75
  4. Step 4: Simplify right side
    106,672.50x = 20,487,270,389.06
  5. Step 5: Solve for x
    x = 20,487,270,389.06/106,672.50
  6. Step 6: Final answer
    x = 192,057.66

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.