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Finding the Third Proportional to 96,272 and 144,828

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Solution

The third proportional to 96,272 and 144,828 is: 217,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,272 : 144,828 = 144,828 : x
  2. Step 2: Convert to fraction form
    96,272/144,828 = 144,828/x
  3. Step 3: Cross multiply
    96,272x = 144,828 × 144,828
  4. Step 4: Simplify right side
    96,272x = 20,975,149,584
  5. Step 5: Solve for x
    x = 20,975,149,584/96,272
  6. Step 6: Final answer
    x = 217,873.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.