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Finding the Third Proportional to 49,632.75 and 106,191

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Solution

The third proportional to 49,632.75 and 106,191 is: 227,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,632.75 : 106,191 = 106,191 : x
  2. Step 2: Convert to fraction form
    49,632.75/106,191 = 106,191/x
  3. Step 3: Cross multiply
    49,632.75x = 106,191 × 106,191
  4. Step 4: Simplify right side
    49,632.75x = 11,276,528,481
  5. Step 5: Solve for x
    x = 11,276,528,481/49,632.75
  6. Step 6: Final answer
    x = 227,199.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.