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Finding the Third Proportional to 75,370 and 165,536

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Solution

The third proportional to 75,370 and 165,536 is: 363,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,370 : 165,536 = 165,536 : x
  2. Step 2: Convert to fraction form
    75,370/165,536 = 165,536/x
  3. Step 3: Cross multiply
    75,370x = 165,536 × 165,536
  4. Step 4: Simplify right side
    75,370x = 27,402,167,296
  5. Step 5: Solve for x
    x = 27,402,167,296/75,370
  6. Step 6: Final answer
    x = 363,568.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.