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Finding the Third Proportional to 101,960 and 211,088

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Solution

The third proportional to 101,960 and 211,088 is: 437,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,960 : 211,088 = 211,088 : x
  2. Step 2: Convert to fraction form
    101,960/211,088 = 211,088/x
  3. Step 3: Cross multiply
    101,960x = 211,088 × 211,088
  4. Step 4: Simplify right side
    101,960x = 44,558,143,744
  5. Step 5: Solve for x
    x = 44,558,143,744/101,960
  6. Step 6: Final answer
    x = 437,015.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.