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Finding the Third Proportional to 102,869 and 224,963

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Solution

The third proportional to 102,869 and 224,963 is: 491,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,869 : 224,963 = 224,963 : x
  2. Step 2: Convert to fraction form
    102,869/224,963 = 224,963/x
  3. Step 3: Cross multiply
    102,869x = 224,963 × 224,963
  4. Step 4: Simplify right side
    102,869x = 50,608,351,369
  5. Step 5: Solve for x
    x = 50,608,351,369/102,869
  6. Step 6: Final answer
    x = 491,968.93

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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.