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Finding the Third Proportional to 49,270.75 and 111,695.13

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Solution

The third proportional to 49,270.75 and 111,695.13 is: 253,209.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,270.75 : 111,695.13 = 111,695.13 : x
  2. Step 2: Convert to fraction form
    49,270.75/111,695.13 = 111,695.13/x
  3. Step 3: Cross multiply
    49,270.75x = 111,695.13 × 111,695.13
  4. Step 4: Simplify right side
    49,270.75x = 12,475,800,948.77
  5. Step 5: Solve for x
    x = 12,475,800,948.77/49,270.75
  6. Step 6: Final answer
    x = 253,209.07

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.