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Finding the Third Proportional to 69,201.56 and 103,440.94

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Solution

The third proportional to 69,201.56 and 103,440.94 is: 154,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,201.56 : 103,440.94 = 103,440.94 : x
  2. Step 2: Convert to fraction form
    69,201.56/103,440.94 = 103,440.94/x
  3. Step 3: Cross multiply
    69,201.56x = 103,440.94 × 103,440.94
  4. Step 4: Simplify right side
    69,201.56x = 10,700,027,550.88
  5. Step 5: Solve for x
    x = 10,700,027,550.88/69,201.56
  6. Step 6: Final answer
    x = 154,621.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.