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Finding the Third Proportional to 101,993 and 143,373.50

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Solution

The third proportional to 101,993 and 143,373.50 is: 201,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,993 : 143,373.50 = 143,373.50 : x
  2. Step 2: Convert to fraction form
    101,993/143,373.50 = 143,373.50/x
  3. Step 3: Cross multiply
    101,993x = 143,373.50 × 143,373.50
  4. Step 4: Simplify right side
    101,993x = 20,555,960,502.25
  5. Step 5: Solve for x
    x = 20,555,960,502.25/101,993
  6. Step 6: Final answer
    x = 201,542.86

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.