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Finding the Third Proportional to 51,784 and 75,164

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Solution

The third proportional to 51,784 and 75,164 is: 109,099.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,784 : 75,164 = 75,164 : x
  2. Step 2: Convert to fraction form
    51,784/75,164 = 75,164/x
  3. Step 3: Cross multiply
    51,784x = 75,164 × 75,164
  4. Step 4: Simplify right side
    51,784x = 5,649,626,896
  5. Step 5: Solve for x
    x = 5,649,626,896/51,784
  6. Step 6: Final answer
    x = 109,099.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.