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Finding the Third Proportional to 56,444 and 123,384

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Solution

The third proportional to 56,444 and 123,384 is: 269,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,444 : 123,384 = 123,384 : x
  2. Step 2: Convert to fraction form
    56,444/123,384 = 123,384/x
  3. Step 3: Cross multiply
    56,444x = 123,384 × 123,384
  4. Step 4: Simplify right side
    56,444x = 15,223,611,456
  5. Step 5: Solve for x
    x = 15,223,611,456/56,444
  6. Step 6: Final answer
    x = 269,711.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.