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Finding the Third Proportional to 106,139.25 and 144,223.88

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Solution

The third proportional to 106,139.25 and 144,223.88 is: 195,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,139.25 : 144,223.88 = 144,223.88 : x
  2. Step 2: Convert to fraction form
    106,139.25/144,223.88 = 144,223.88/x
  3. Step 3: Cross multiply
    106,139.25x = 144,223.88 × 144,223.88
  4. Step 4: Simplify right side
    106,139.25x = 20,800,526,120.02
  5. Step 5: Solve for x
    x = 20,800,526,120.02/106,139.25
  6. Step 6: Final answer
    x = 195,973.93

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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.