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Finding the Third Proportional to 95,366 and 144,277

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Solution

The third proportional to 95,366 and 144,277 is: 218,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,366 : 144,277 = 144,277 : x
  2. Step 2: Convert to fraction form
    95,366/144,277 = 144,277/x
  3. Step 3: Cross multiply
    95,366x = 144,277 × 144,277
  4. Step 4: Simplify right side
    95,366x = 20,815,852,729
  5. Step 5: Solve for x
    x = 20,815,852,729/95,366
  6. Step 6: Final answer
    x = 218,273.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.