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Finding the Third Proportional to 127,062.75 and 169,393.50

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Solution

The third proportional to 127,062.75 and 169,393.50 is: 225,826.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,062.75 : 169,393.50 = 169,393.50 : x
  2. Step 2: Convert to fraction form
    127,062.75/169,393.50 = 169,393.50/x
  3. Step 3: Cross multiply
    127,062.75x = 169,393.50 × 169,393.50
  4. Step 4: Simplify right side
    127,062.75x = 28,694,157,842.25
  5. Step 5: Solve for x
    x = 28,694,157,842.25/127,062.75
  6. Step 6: Final answer
    x = 225,826.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.