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Finding the Third Proportional to 75,435 and 165,366

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Solution

The third proportional to 75,435 and 165,366 is: 362,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,435 : 165,366 = 165,366 : x
  2. Step 2: Convert to fraction form
    75,435/165,366 = 165,366/x
  3. Step 3: Cross multiply
    75,435x = 165,366 × 165,366
  4. Step 4: Simplify right side
    75,435x = 27,345,913,956
  5. Step 5: Solve for x
    x = 27,345,913,956/75,435
  6. Step 6: Final answer
    x = 362,509.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.