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Finding the Third Proportional to 53,285 and 116,722

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Solution

The third proportional to 53,285 and 116,722 is: 255,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,285 : 116,722 = 116,722 : x
  2. Step 2: Convert to fraction form
    53,285/116,722 = 116,722/x
  3. Step 3: Cross multiply
    53,285x = 116,722 × 116,722
  4. Step 4: Simplify right side
    53,285x = 13,624,025,284
  5. Step 5: Solve for x
    x = 13,624,025,284/53,285
  6. Step 6: Final answer
    x = 255,682.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.