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Finding the Third Proportional to 106,525.13 and 144,478.69

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Solution

The third proportional to 106,525.13 and 144,478.69 is: 195,954.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,525.13 : 144,478.69 = 144,478.69 : x
  2. Step 2: Convert to fraction form
    106,525.13/144,478.69 = 144,478.69/x
  3. Step 3: Cross multiply
    106,525.13x = 144,478.69 × 144,478.69
  4. Step 4: Simplify right side
    106,525.13x = 20,874,091,141.72
  5. Step 5: Solve for x
    x = 20,874,091,141.72/106,525.13
  6. Step 6: Final answer
    x = 195,954.63

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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.