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Finding the Third Proportional to 53,479.75 and 82,209.25

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Solution

The third proportional to 53,479.75 and 82,209.25 is: 126,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,479.75 : 82,209.25 = 82,209.25 : x
  2. Step 2: Convert to fraction form
    53,479.75/82,209.25 = 82,209.25/x
  3. Step 3: Cross multiply
    53,479.75x = 82,209.25 × 82,209.25
  4. Step 4: Simplify right side
    53,479.75x = 6,758,360,785.56
  5. Step 5: Solve for x
    x = 6,758,360,785.56/53,479.75
  6. Step 6: Final answer
    x = 126,372.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.