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Finding the Third Proportional to 53,344 and 114,958

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Solution

The third proportional to 53,344 and 114,958 is: 247,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,344 : 114,958 = 114,958 : x
  2. Step 2: Convert to fraction form
    53,344/114,958 = 114,958/x
  3. Step 3: Cross multiply
    53,344x = 114,958 × 114,958
  4. Step 4: Simplify right side
    53,344x = 13,215,341,764
  5. Step 5: Solve for x
    x = 13,215,341,764/53,344
  6. Step 6: Final answer
    x = 247,738.11

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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.