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Finding the Third Proportional to 49,907 and 109,068

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Solution

The third proportional to 49,907 and 109,068 is: 238,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,907 : 109,068 = 109,068 : x
  2. Step 2: Convert to fraction form
    49,907/109,068 = 109,068/x
  3. Step 3: Cross multiply
    49,907x = 109,068 × 109,068
  4. Step 4: Simplify right side
    49,907x = 11,895,828,624
  5. Step 5: Solve for x
    x = 11,895,828,624/49,907
  6. Step 6: Final answer
    x = 238,359.92

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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.