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Finding the Third Proportional to 75,414 and 165,770

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Solution

The third proportional to 75,414 and 165,770 is: 364,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,414 : 165,770 = 165,770 : x
  2. Step 2: Convert to fraction form
    75,414/165,770 = 165,770/x
  3. Step 3: Cross multiply
    75,414x = 165,770 × 165,770
  4. Step 4: Simplify right side
    75,414x = 27,479,692,900
  5. Step 5: Solve for x
    x = 27,479,692,900/75,414
  6. Step 6: Final answer
    x = 364,384.50

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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.