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Finding the Third Proportional to 104,474.81 and 156,947.63

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Solution

The third proportional to 104,474.81 and 156,947.63 is: 235,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,474.81 : 156,947.63 = 156,947.63 : x
  2. Step 2: Convert to fraction form
    104,474.81/156,947.63 = 156,947.63/x
  3. Step 3: Cross multiply
    104,474.81x = 156,947.63 × 156,947.63
  4. Step 4: Simplify right side
    104,474.81x = 24,632,556,993.14
  5. Step 5: Solve for x
    x = 24,632,556,993.14/104,474.81
  6. Step 6: Final answer
    x = 235,775.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.