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Finding the Third Proportional to 53,992 and 113,444

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Solution

The third proportional to 53,992 and 113,444 is: 238,360.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,992 : 113,444 = 113,444 : x
  2. Step 2: Convert to fraction form
    53,992/113,444 = 113,444/x
  3. Step 3: Cross multiply
    53,992x = 113,444 × 113,444
  4. Step 4: Simplify right side
    53,992x = 12,869,541,136
  5. Step 5: Solve for x
    x = 12,869,541,136/53,992
  6. Step 6: Final answer
    x = 238,360.15

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.