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Finding the Third Proportional to 75,446 and 165,399

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Solution

The third proportional to 75,446 and 165,399 is: 362,601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,446 : 165,399 = 165,399 : x
  2. Step 2: Convert to fraction form
    75,446/165,399 = 165,399/x
  3. Step 3: Cross multiply
    75,446x = 165,399 × 165,399
  4. Step 4: Simplify right side
    75,446x = 27,356,829,201
  5. Step 5: Solve for x
    x = 27,356,829,201/75,446
  6. Step 6: Final answer
    x = 362,601.45

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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.