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Finding the Third Proportional to 52,509.94 and 115,225.88

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Solution

The third proportional to 52,509.94 and 115,225.88 is: 252,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509.94 : 115,225.88 = 115,225.88 : x
  2. Step 2: Convert to fraction form
    52,509.94/115,225.88 = 115,225.88/x
  3. Step 3: Cross multiply
    52,509.94x = 115,225.88 × 115,225.88
  4. Step 4: Simplify right side
    52,509.94x = 13,277,002,269.52
  5. Step 5: Solve for x
    x = 13,277,002,269.52/52,509.94
  6. Step 6: Final answer
    x = 252,847.42

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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.