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Finding the Third Proportional to 49,703 and 106,423

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Solution

The third proportional to 49,703 and 106,423 is: 227,870.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,703 : 106,423 = 106,423 : x
  2. Step 2: Convert to fraction form
    49,703/106,423 = 106,423/x
  3. Step 3: Cross multiply
    49,703x = 106,423 × 106,423
  4. Step 4: Simplify right side
    49,703x = 11,325,854,929
  5. Step 5: Solve for x
    x = 11,325,854,929/49,703
  6. Step 6: Final answer
    x = 227,870.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.