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Finding the Third Proportional to 76,479 and 165,260

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Solution

The third proportional to 76,479 and 165,260 is: 357,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,479 : 165,260 = 165,260 : x
  2. Step 2: Convert to fraction form
    76,479/165,260 = 165,260/x
  3. Step 3: Cross multiply
    76,479x = 165,260 × 165,260
  4. Step 4: Simplify right side
    76,479x = 27,310,867,600
  5. Step 5: Solve for x
    x = 27,310,867,600/76,479
  6. Step 6: Final answer
    x = 357,102.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.