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Finding the Third Proportional to 126,188 and 169,113

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Solution

The third proportional to 126,188 and 169,113 is: 226,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,188 : 169,113 = 169,113 : x
  2. Step 2: Convert to fraction form
    126,188/169,113 = 169,113/x
  3. Step 3: Cross multiply
    126,188x = 169,113 × 169,113
  4. Step 4: Simplify right side
    126,188x = 28,599,206,769
  5. Step 5: Solve for x
    x = 28,599,206,769/126,188
  6. Step 6: Final answer
    x = 226,639.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.