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Finding the Third Proportional to 49,680 and 115,272

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Solution

The third proportional to 49,680 and 115,272 is: 267,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,680 : 115,272 = 115,272 : x
  2. Step 2: Convert to fraction form
    49,680/115,272 = 115,272/x
  3. Step 3: Cross multiply
    49,680x = 115,272 × 115,272
  4. Step 4: Simplify right side
    49,680x = 13,287,633,984
  5. Step 5: Solve for x
    x = 13,287,633,984/49,680
  6. Step 6: Final answer
    x = 267,464.45

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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.