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Finding the Third Proportional to 49,255 and 74,469

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Solution

The third proportional to 49,255 and 74,469 is: 112,590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,255 : 74,469 = 74,469 : x
  2. Step 2: Convert to fraction form
    49,255/74,469 = 74,469/x
  3. Step 3: Cross multiply
    49,255x = 74,469 × 74,469
  4. Step 4: Simplify right side
    49,255x = 5,545,631,961
  5. Step 5: Solve for x
    x = 5,545,631,961/49,255
  6. Step 6: Final answer
    x = 112,590.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.