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Finding the Third Proportional to 76,750 and 180,919

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Solution

The third proportional to 76,750 and 180,919 is: 426,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,750 : 180,919 = 180,919 : x
  2. Step 2: Convert to fraction form
    76,750/180,919 = 180,919/x
  3. Step 3: Cross multiply
    76,750x = 180,919 × 180,919
  4. Step 4: Simplify right side
    76,750x = 32,731,684,561
  5. Step 5: Solve for x
    x = 32,731,684,561/76,750
  6. Step 6: Final answer
    x = 426,471.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.