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Finding the Third Proportional to 52,020.25 and 112,234.75

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Solution

The third proportional to 52,020.25 and 112,234.75 is: 242,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,020.25 : 112,234.75 = 112,234.75 : x
  2. Step 2: Convert to fraction form
    52,020.25/112,234.75 = 112,234.75/x
  3. Step 3: Cross multiply
    52,020.25x = 112,234.75 × 112,234.75
  4. Step 4: Simplify right side
    52,020.25x = 12,596,639,107.56
  5. Step 5: Solve for x
    x = 12,596,639,107.56/52,020.25
  6. Step 6: Final answer
    x = 242,148.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.