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Finding the Third Proportional to 106,992 and 143,136

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Solution

The third proportional to 106,992 and 143,136 is: 191,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,992 : 143,136 = 143,136 : x
  2. Step 2: Convert to fraction form
    106,992/143,136 = 143,136/x
  3. Step 3: Cross multiply
    106,992x = 143,136 × 143,136
  4. Step 4: Simplify right side
    106,992x = 20,487,914,496
  5. Step 5: Solve for x
    x = 20,487,914,496/106,992
  6. Step 6: Final answer
    x = 191,490.15

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.