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Finding the Third Proportional to 50,232 and 107,128

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Solution

The third proportional to 50,232 and 107,128 is: 228,468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,232 : 107,128 = 107,128 : x
  2. Step 2: Convert to fraction form
    50,232/107,128 = 107,128/x
  3. Step 3: Cross multiply
    50,232x = 107,128 × 107,128
  4. Step 4: Simplify right side
    50,232x = 11,476,408,384
  5. Step 5: Solve for x
    x = 11,476,408,384/50,232
  6. Step 6: Final answer
    x = 228,468.08

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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.