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Finding the Third Proportional to 119,760.75 and 187,869.38

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Solution

The third proportional to 119,760.75 and 187,869.38 is: 294,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,760.75 : 187,869.38 = 187,869.38 : x
  2. Step 2: Convert to fraction form
    119,760.75/187,869.38 = 187,869.38/x
  3. Step 3: Cross multiply
    119,760.75x = 187,869.38 × 187,869.38
  4. Step 4: Simplify right side
    119,760.75x = 35,294,902,062.89
  5. Step 5: Solve for x
    x = 35,294,902,062.89/119,760.75
  6. Step 6: Final answer
    x = 294,711.77

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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.