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Finding the Third Proportional to 106,103 and 144,185

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Solution

The third proportional to 106,103 and 144,185 is: 195,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,103 : 144,185 = 144,185 : x
  2. Step 2: Convert to fraction form
    106,103/144,185 = 144,185/x
  3. Step 3: Cross multiply
    106,103x = 144,185 × 144,185
  4. Step 4: Simplify right side
    106,103x = 20,789,314,225
  5. Step 5: Solve for x
    x = 20,789,314,225/106,103
  6. Step 6: Final answer
    x = 195,935.22

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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.