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Finding the Third Proportional to 44,548 and 105,538

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Solution

The third proportional to 44,548 and 105,538 is: 250,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,548 : 105,538 = 105,538 : x
  2. Step 2: Convert to fraction form
    44,548/105,538 = 105,538/x
  3. Step 3: Cross multiply
    44,548x = 105,538 × 105,538
  4. Step 4: Simplify right side
    44,548x = 11,138,269,444
  5. Step 5: Solve for x
    x = 11,138,269,444/44,548
  6. Step 6: Final answer
    x = 250,028.50

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.