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Finding the Third Proportional to 76,012.17 and 119,238.96

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Solution

The third proportional to 76,012.17 and 119,238.96 is: 187,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,012.17 : 119,238.96 = 119,238.96 : x
  2. Step 2: Convert to fraction form
    76,012.17/119,238.96 = 119,238.96/x
  3. Step 3: Cross multiply
    76,012.17x = 119,238.96 × 119,238.96
  4. Step 4: Simplify right side
    76,012.17x = 14,217,929,805.45
  5. Step 5: Solve for x
    x = 14,217,929,805.45/76,012.17
  6. Step 6: Final answer
    x = 187,048.07

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.