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Finding the Third Proportional to 49,632.75 and 115,273.13

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Solution

The third proportional to 49,632.75 and 115,273.13 is: 267,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,632.75 : 115,273.13 = 115,273.13 : x
  2. Step 2: Convert to fraction form
    49,632.75/115,273.13 = 115,273.13/x
  3. Step 3: Cross multiply
    49,632.75x = 115,273.13 × 115,273.13
  4. Step 4: Simplify right side
    49,632.75x = 13,287,893,347.27
  5. Step 5: Solve for x
    x = 13,287,893,347.27/49,632.75
  6. Step 6: Final answer
    x = 267,724.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.