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Finding the Third Proportional to 96,435 and 144,078.75

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Solution

The third proportional to 96,435 and 144,078.75 is: 215,260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,435 : 144,078.75 = 144,078.75 : x
  2. Step 2: Convert to fraction form
    96,435/144,078.75 = 144,078.75/x
  3. Step 3: Cross multiply
    96,435x = 144,078.75 × 144,078.75
  4. Step 4: Simplify right side
    96,435x = 20,758,686,201.56
  5. Step 5: Solve for x
    x = 20,758,686,201.56/96,435
  6. Step 6: Final answer
    x = 215,260.91

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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.