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Finding the Third Proportional to 60,909.89 and 146,739.09

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Solution

The third proportional to 60,909.89 and 146,739.09 is: 353,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,909.89 : 146,739.09 = 146,739.09 : x
  2. Step 2: Convert to fraction form
    60,909.89/146,739.09 = 146,739.09/x
  3. Step 3: Cross multiply
    60,909.89x = 146,739.09 × 146,739.09
  4. Step 4: Simplify right side
    60,909.89x = 21,532,361,634.57
  5. Step 5: Solve for x
    x = 21,532,361,634.57/60,909.89
  6. Step 6: Final answer
    x = 353,511.74

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.