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Finding the Third Proportional to 76,319 and 165,774

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Solution

The third proportional to 76,319 and 165,774 is: 360,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,319 : 165,774 = 165,774 : x
  2. Step 2: Convert to fraction form
    76,319/165,774 = 165,774/x
  3. Step 3: Cross multiply
    76,319x = 165,774 × 165,774
  4. Step 4: Simplify right side
    76,319x = 27,481,019,076
  5. Step 5: Solve for x
    x = 27,481,019,076/76,319
  6. Step 6: Final answer
    x = 360,080.96

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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.