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Finding the Third Proportional to 126,738 and 169,600.50

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Solution

The third proportional to 126,738 and 169,600.50 is: 226,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,738 : 169,600.50 = 169,600.50 : x
  2. Step 2: Convert to fraction form
    126,738/169,600.50 = 169,600.50/x
  3. Step 3: Cross multiply
    126,738x = 169,600.50 × 169,600.50
  4. Step 4: Simplify right side
    126,738x = 28,764,329,600.25
  5. Step 5: Solve for x
    x = 28,764,329,600.25/126,738
  6. Step 6: Final answer
    x = 226,959.00

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