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Finding the Third Proportional to 55,536 and 79,149

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Solution

The third proportional to 55,536 and 79,149 is: 112,801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,536 : 79,149 = 79,149 : x
  2. Step 2: Convert to fraction form
    55,536/79,149 = 79,149/x
  3. Step 3: Cross multiply
    55,536x = 79,149 × 79,149
  4. Step 4: Simplify right side
    55,536x = 6,264,564,201
  5. Step 5: Solve for x
    x = 6,264,564,201/55,536
  6. Step 6: Final answer
    x = 112,801.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.