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Finding the Third Proportional to 119,723.25 and 187,846.50

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Solution

The third proportional to 119,723.25 and 187,846.50 is: 294,732.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,723.25 : 187,846.50 = 187,846.50 : x
  2. Step 2: Convert to fraction form
    119,723.25/187,846.50 = 187,846.50/x
  3. Step 3: Cross multiply
    119,723.25x = 187,846.50 × 187,846.50
  4. Step 4: Simplify right side
    119,723.25x = 35,286,307,562.25
  5. Step 5: Solve for x
    x = 35,286,307,562.25/119,723.25
  6. Step 6: Final answer
    x = 294,732.29

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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.