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Finding the Third Proportional to 76,624.13 and 119,593.69

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Solution

The third proportional to 76,624.13 and 119,593.69 is: 186,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,624.13 : 119,593.69 = 119,593.69 : x
  2. Step 2: Convert to fraction form
    76,624.13/119,593.69 = 119,593.69/x
  3. Step 3: Cross multiply
    76,624.13x = 119,593.69 × 119,593.69
  4. Step 4: Simplify right side
    76,624.13x = 14,302,650,089.85
  5. Step 5: Solve for x
    x = 14,302,650,089.85/76,624.13
  6. Step 6: Final answer
    x = 186,659.88

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.