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Finding the Third Proportional to 48,339 and 106,488

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Solution

The third proportional to 48,339 and 106,488 is: 234,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,339 : 106,488 = 106,488 : x
  2. Step 2: Convert to fraction form
    48,339/106,488 = 106,488/x
  3. Step 3: Cross multiply
    48,339x = 106,488 × 106,488
  4. Step 4: Simplify right side
    48,339x = 11,339,694,144
  5. Step 5: Solve for x
    x = 11,339,694,144/48,339
  6. Step 6: Final answer
    x = 234,586.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.