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Finding the Third Proportional to 50,128 and 106,928

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Solution

The third proportional to 50,128 and 106,928 is: 228,088.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,128 : 106,928 = 106,928 : x
  2. Step 2: Convert to fraction form
    50,128/106,928 = 106,928/x
  3. Step 3: Cross multiply
    50,128x = 106,928 × 106,928
  4. Step 4: Simplify right side
    50,128x = 11,433,597,184
  5. Step 5: Solve for x
    x = 11,433,597,184/50,128
  6. Step 6: Final answer
    x = 228,088.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.