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Finding the Third Proportional to 76,334.75 and 161,281

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Solution

The third proportional to 76,334.75 and 161,281 is: 340,756.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,334.75 : 161,281 = 161,281 : x
  2. Step 2: Convert to fraction form
    76,334.75/161,281 = 161,281/x
  3. Step 3: Cross multiply
    76,334.75x = 161,281 × 161,281
  4. Step 4: Simplify right side
    76,334.75x = 26,011,560,961
  5. Step 5: Solve for x
    x = 26,011,560,961/76,334.75
  6. Step 6: Final answer
    x = 340,756.48

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.