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Finding the Third Proportional to 106,139.25 and 144,223.31

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Solution

The third proportional to 106,139.25 and 144,223.31 is: 195,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,139.25 : 144,223.31 = 144,223.31 : x
  2. Step 2: Convert to fraction form
    106,139.25/144,223.31 = 144,223.31/x
  3. Step 3: Cross multiply
    106,139.25x = 144,223.31 × 144,223.31
  4. Step 4: Simplify right side
    106,139.25x = 20,800,363,868.47
  5. Step 5: Solve for x
    x = 20,800,363,868.47/106,139.25
  6. Step 6: Final answer
    x = 195,972.40

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