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Finding the Third Proportional to 52,495.59 and 115,197.19

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Solution

The third proportional to 52,495.59 and 115,197.19 is: 252,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,495.59 : 115,197.19 = 115,197.19 : x
  2. Step 2: Convert to fraction form
    52,495.59/115,197.19 = 115,197.19/x
  3. Step 3: Cross multiply
    52,495.59x = 115,197.19 × 115,197.19
  4. Step 4: Simplify right side
    52,495.59x = 13,270,392,007.91
  5. Step 5: Solve for x
    x = 13,270,392,007.91/52,495.59
  6. Step 6: Final answer
    x = 252,790.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.