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Finding the Third Proportional to 119,728.13 and 187,855.88

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Solution

The third proportional to 119,728.13 and 187,855.88 is: 294,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,728.13 : 187,855.88 = 187,855.88 : x
  2. Step 2: Convert to fraction form
    119,728.13/187,855.88 = 187,855.88/x
  3. Step 3: Cross multiply
    119,728.13x = 187,855.88 × 187,855.88
  4. Step 4: Simplify right side
    119,728.13x = 35,289,829,772.02
  5. Step 5: Solve for x
    x = 35,289,829,772.02/119,728.13
  6. Step 6: Final answer
    x = 294,749.71

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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.