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Finding the Third Proportional to 44,122 and 103,381

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Solution

The third proportional to 44,122 and 103,381 is: 242,229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,122 : 103,381 = 103,381 : x
  2. Step 2: Convert to fraction form
    44,122/103,381 = 103,381/x
  3. Step 3: Cross multiply
    44,122x = 103,381 × 103,381
  4. Step 4: Simplify right side
    44,122x = 10,687,631,161
  5. Step 5: Solve for x
    x = 10,687,631,161/44,122
  6. Step 6: Final answer
    x = 242,229.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.