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Finding the Third Proportional to 53,279 and 114,859

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Solution

The third proportional to 53,279 and 114,859 is: 247,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,279 : 114,859 = 114,859 : x
  2. Step 2: Convert to fraction form
    53,279/114,859 = 114,859/x
  3. Step 3: Cross multiply
    53,279x = 114,859 × 114,859
  4. Step 4: Simplify right side
    53,279x = 13,192,589,881
  5. Step 5: Solve for x
    x = 13,192,589,881/53,279
  6. Step 6: Final answer
    x = 247,613.32

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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.