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Finding the Third Proportional to 96,406 and 144,097

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Solution

The third proportional to 96,406 and 144,097 is: 215,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,406 : 144,097 = 144,097 : x
  2. Step 2: Convert to fraction form
    96,406/144,097 = 144,097/x
  3. Step 3: Cross multiply
    96,406x = 144,097 × 144,097
  4. Step 4: Simplify right side
    96,406x = 20,763,945,409
  5. Step 5: Solve for x
    x = 20,763,945,409/96,406
  6. Step 6: Final answer
    x = 215,380.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.