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Finding the Third Proportional to 106,092 and 144,169

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Solution

The third proportional to 106,092 and 144,169 is: 195,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,092 : 144,169 = 144,169 : x
  2. Step 2: Convert to fraction form
    106,092/144,169 = 144,169/x
  3. Step 3: Cross multiply
    106,092x = 144,169 × 144,169
  4. Step 4: Simplify right side
    106,092x = 20,784,700,561
  5. Step 5: Solve for x
    x = 20,784,700,561/106,092
  6. Step 6: Final answer
    x = 195,912.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.