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Finding the Third Proportional to 49,391 and 106,503

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Solution

The third proportional to 49,391 and 106,503 is: 229,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,391 : 106,503 = 106,503 : x
  2. Step 2: Convert to fraction form
    49,391/106,503 = 106,503/x
  3. Step 3: Cross multiply
    49,391x = 106,503 × 106,503
  4. Step 4: Simplify right side
    49,391x = 11,342,889,009
  5. Step 5: Solve for x
    x = 11,342,889,009/49,391
  6. Step 6: Final answer
    x = 229,654.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.