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Finding the Third Proportional to 49,519 and 106,929

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Solution

The third proportional to 49,519 and 106,929 is: 230,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,519 : 106,929 = 106,929 : x
  2. Step 2: Convert to fraction form
    49,519/106,929 = 106,929/x
  3. Step 3: Cross multiply
    49,519x = 106,929 × 106,929
  4. Step 4: Simplify right side
    49,519x = 11,433,811,041
  5. Step 5: Solve for x
    x = 11,433,811,041/49,519
  6. Step 6: Final answer
    x = 230,897.45

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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.