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Finding the Third Proportional to 105,653 and 143,899

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Solution

The third proportional to 105,653 and 143,899 is: 195,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,653 : 143,899 = 143,899 : x
  2. Step 2: Convert to fraction form
    105,653/143,899 = 143,899/x
  3. Step 3: Cross multiply
    105,653x = 143,899 × 143,899
  4. Step 4: Simplify right side
    105,653x = 20,706,922,201
  5. Step 5: Solve for x
    x = 20,706,922,201/105,653
  6. Step 6: Final answer
    x = 195,989.91

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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.