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Finding the Third Proportional to 133,028 and 174,381

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Solution

The third proportional to 133,028 and 174,381 is: 228,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,028 : 174,381 = 174,381 : x
  2. Step 2: Convert to fraction form
    133,028/174,381 = 174,381/x
  3. Step 3: Cross multiply
    133,028x = 174,381 × 174,381
  4. Step 4: Simplify right side
    133,028x = 30,408,733,161
  5. Step 5: Solve for x
    x = 30,408,733,161/133,028
  6. Step 6: Final answer
    x = 228,588.97

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.