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Finding the Third Proportional to 105,191 and 143,713

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Solution

The third proportional to 105,191 and 143,713 is: 196,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,191 : 143,713 = 143,713 : x
  2. Step 2: Convert to fraction form
    105,191/143,713 = 143,713/x
  3. Step 3: Cross multiply
    105,191x = 143,713 × 143,713
  4. Step 4: Simplify right side
    105,191x = 20,653,426,369
  5. Step 5: Solve for x
    x = 20,653,426,369/105,191
  6. Step 6: Final answer
    x = 196,342.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.