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Finding the Third Proportional to 77,334.75 and 162,453.09

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Solution

The third proportional to 77,334.75 and 162,453.09 is: 341,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,334.75 : 162,453.09 = 162,453.09 : x
  2. Step 2: Convert to fraction form
    77,334.75/162,453.09 = 162,453.09/x
  3. Step 3: Cross multiply
    77,334.75x = 162,453.09 × 162,453.09
  4. Step 4: Simplify right side
    77,334.75x = 26,391,007,668.95
  5. Step 5: Solve for x
    x = 26,391,007,668.95/77,334.75
  6. Step 6: Final answer
    x = 341,256.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.