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Finding the Third Proportional to 101,998 and 143,381

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Solution

The third proportional to 101,998 and 143,381 is: 201,554.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,998 : 143,381 = 143,381 : x
  2. Step 2: Convert to fraction form
    101,998/143,381 = 143,381/x
  3. Step 3: Cross multiply
    101,998x = 143,381 × 143,381
  4. Step 4: Simplify right side
    101,998x = 20,558,111,161
  5. Step 5: Solve for x
    x = 20,558,111,161/101,998
  6. Step 6: Final answer
    x = 201,554.06

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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.