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Finding the Third Proportional to 59,636.25 and 129,789.84

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Solution

The third proportional to 59,636.25 and 129,789.84 is: 282,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,636.25 : 129,789.84 = 129,789.84 : x
  2. Step 2: Convert to fraction form
    59,636.25/129,789.84 = 129,789.84/x
  3. Step 3: Cross multiply
    59,636.25x = 129,789.84 × 129,789.84
  4. Step 4: Simplify right side
    59,636.25x = 16,845,403,540.65
  5. Step 5: Solve for x
    x = 16,845,403,540.65/59,636.25
  6. Step 6: Final answer
    x = 282,469.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.