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Finding the Third Proportional to 119,800 and 187,916

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Solution

The third proportional to 119,800 and 187,916 is: 294,761.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,800 : 187,916 = 187,916 : x
  2. Step 2: Convert to fraction form
    119,800/187,916 = 187,916/x
  3. Step 3: Cross multiply
    119,800x = 187,916 × 187,916
  4. Step 4: Simplify right side
    119,800x = 35,312,423,056
  5. Step 5: Solve for x
    x = 35,312,423,056/119,800
  6. Step 6: Final answer
    x = 294,761.46

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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.