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Finding the Third Proportional to 50,580 and 106,488

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Solution

The third proportional to 50,580 and 106,488 is: 224,193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,580 : 106,488 = 106,488 : x
  2. Step 2: Convert to fraction form
    50,580/106,488 = 106,488/x
  3. Step 3: Cross multiply
    50,580x = 106,488 × 106,488
  4. Step 4: Simplify right side
    50,580x = 11,339,694,144
  5. Step 5: Solve for x
    x = 11,339,694,144/50,580
  6. Step 6: Final answer
    x = 224,193.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.