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Finding the Third Proportional to 76,314 and 165,764.63

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Solution

The third proportional to 76,314 and 165,764.63 is: 360,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,314 : 165,764.63 = 165,764.63 : x
  2. Step 2: Convert to fraction form
    76,314/165,764.63 = 165,764.63/x
  3. Step 3: Cross multiply
    76,314x = 165,764.63 × 165,764.63
  4. Step 4: Simplify right side
    76,314x = 27,477,910,901.39
  5. Step 5: Solve for x
    x = 27,477,910,901.39/76,314
  6. Step 6: Final answer
    x = 360,063.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.