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Finding the Third Proportional to 53,718 and 115,976

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Solution

The third proportional to 53,718 and 115,976 is: 250,389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,718 : 115,976 = 115,976 : x
  2. Step 2: Convert to fraction form
    53,718/115,976 = 115,976/x
  3. Step 3: Cross multiply
    53,718x = 115,976 × 115,976
  4. Step 4: Simplify right side
    53,718x = 13,450,432,576
  5. Step 5: Solve for x
    x = 13,450,432,576/53,718
  6. Step 6: Final answer
    x = 250,389.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.