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Finding the Third Proportional to 76,404.20 and 167,006.81

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Solution

The third proportional to 76,404.20 and 167,006.81 is: 365,048.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,404.20 : 167,006.81 = 167,006.81 : x
  2. Step 2: Convert to fraction form
    76,404.20/167,006.81 = 167,006.81/x
  3. Step 3: Cross multiply
    76,404.20x = 167,006.81 × 167,006.81
  4. Step 4: Simplify right side
    76,404.20x = 27,891,275,421.41
  5. Step 5: Solve for x
    x = 27,891,275,421.41/76,404.20
  6. Step 6: Final answer
    x = 365,048.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.