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Finding the Third Proportional to 55,930 and 83,940

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Solution

The third proportional to 55,930 and 83,940 is: 125,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,930 : 83,940 = 83,940 : x
  2. Step 2: Convert to fraction form
    55,930/83,940 = 83,940/x
  3. Step 3: Cross multiply
    55,930x = 83,940 × 83,940
  4. Step 4: Simplify right side
    55,930x = 7,045,923,600
  5. Step 5: Solve for x
    x = 7,045,923,600/55,930
  6. Step 6: Final answer
    x = 125,977.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.