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Finding the Third Proportional to 53,344 and 114,950

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Solution

The third proportional to 53,344 and 114,950 is: 247,703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,344 : 114,950 = 114,950 : x
  2. Step 2: Convert to fraction form
    53,344/114,950 = 114,950/x
  3. Step 3: Cross multiply
    53,344x = 114,950 × 114,950
  4. Step 4: Simplify right side
    53,344x = 13,213,502,500
  5. Step 5: Solve for x
    x = 13,213,502,500/53,344
  6. Step 6: Final answer
    x = 247,703.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.