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Finding the Third Proportional to 55,398.75 and 117,444

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Solution

The third proportional to 55,398.75 and 117,444 is: 248,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,398.75 : 117,444 = 117,444 : x
  2. Step 2: Convert to fraction form
    55,398.75/117,444 = 117,444/x
  3. Step 3: Cross multiply
    55,398.75x = 117,444 × 117,444
  4. Step 4: Simplify right side
    55,398.75x = 13,793,093,136
  5. Step 5: Solve for x
    x = 13,793,093,136/55,398.75
  6. Step 6: Final answer
    x = 248,978.42

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.