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Finding the Third Proportional to 63,400.50 and 147,426.75

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Solution

The third proportional to 63,400.50 and 147,426.75 is: 342,815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,400.50 : 147,426.75 = 147,426.75 : x
  2. Step 2: Convert to fraction form
    63,400.50/147,426.75 = 147,426.75/x
  3. Step 3: Cross multiply
    63,400.50x = 147,426.75 × 147,426.75
  4. Step 4: Simplify right side
    63,400.50x = 21,734,646,615.56
  5. Step 5: Solve for x
    x = 21,734,646,615.56/63,400.50
  6. Step 6: Final answer
    x = 342,815.07

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.