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Finding the Third Proportional to 50,096 and 79,328

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Solution

The third proportional to 50,096 and 79,328 is: 125,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,096 : 79,328 = 79,328 : x
  2. Step 2: Convert to fraction form
    50,096/79,328 = 79,328/x
  3. Step 3: Cross multiply
    50,096x = 79,328 × 79,328
  4. Step 4: Simplify right side
    50,096x = 6,292,931,584
  5. Step 5: Solve for x
    x = 6,292,931,584/50,096
  6. Step 6: Final answer
    x = 125,617.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.