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Finding the Third Proportional to 105,655.50 and 143,903.25

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Solution

The third proportional to 105,655.50 and 143,903.25 is: 195,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,655.50 : 143,903.25 = 143,903.25 : x
  2. Step 2: Convert to fraction form
    105,655.50/143,903.25 = 143,903.25/x
  3. Step 3: Cross multiply
    105,655.50x = 143,903.25 × 143,903.25
  4. Step 4: Simplify right side
    105,655.50x = 20,708,145,360.56
  5. Step 5: Solve for x
    x = 20,708,145,360.56/105,655.50
  6. Step 6: Final answer
    x = 195,996.85

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.