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Finding the Third Proportional to 105,652 and 143,898

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Solution

The third proportional to 105,652 and 143,898 is: 195,989.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,652 : 143,898 = 143,898 : x
  2. Step 2: Convert to fraction form
    105,652/143,898 = 143,898/x
  3. Step 3: Cross multiply
    105,652x = 143,898 × 143,898
  4. Step 4: Simplify right side
    105,652x = 20,706,634,404
  5. Step 5: Solve for x
    x = 20,706,634,404/105,652
  6. Step 6: Final answer
    x = 195,989.04

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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.