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Finding the Third Proportional to 119,762.63 and 187,872.38

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Solution

The third proportional to 119,762.63 and 187,872.38 is: 294,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,762.63 : 187,872.38 = 187,872.38 : x
  2. Step 2: Convert to fraction form
    119,762.63/187,872.38 = 187,872.38/x
  3. Step 3: Cross multiply
    119,762.63x = 187,872.38 × 187,872.38
  4. Step 4: Simplify right side
    119,762.63x = 35,296,029,288.14
  5. Step 5: Solve for x
    x = 35,296,029,288.14/119,762.63
  6. Step 6: Final answer
    x = 294,716.56

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Why These Related Problems?

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